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Finding the Fourth Proportional to 30,978,095.18, 46,461,019.17 and 29,441,829.74

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Solution

The fourth proportional to 30,978,095.18, 46,461,019.17 and 29,441,829.74 is: 44,156,924.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,978,095.18 : 46,461,019.17 = 29,441,829.74 : x
  2. Step 2: Convert to fraction form
    30,978,095.18/46,461,019.17 = 29,441,829.74/x
  3. Step 3: Cross multiply
    30,978,095.18x = 46,461,019.17 × 29,441,829.74
  4. Step 4: Simplify right side
    30,978,095.18x = 1,367,897,415,950,016
  5. Step 5: Solve for x
    x = 1,367,897,415,950,016/30,978,095.18
  6. Step 6: Final answer
    x = 44,156,924.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.