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Finding the Fourth Proportional to 30,458.90, 45,712.71 and 29,486.90

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Solution

The fourth proportional to 30,458.90, 45,712.71 and 29,486.90 is: 44,253.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,458.90 : 45,712.71 = 29,486.90 : x
  2. Step 2: Convert to fraction form
    30,458.90/45,712.71 = 29,486.90/x
  3. Step 3: Cross multiply
    30,458.90x = 45,712.71 × 29,486.90
  4. Step 4: Simplify right side
    30,458.90x = 1,347,926,108.50
  5. Step 5: Solve for x
    x = 1,347,926,108.50/30,458.90
  6. Step 6: Final answer
    x = 44,253.93

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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.