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Finding the Fourth Proportional to 30,442.69, 45,632.71 and 14,623.98

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Solution

The fourth proportional to 30,442.69, 45,632.71 and 14,623.98 is: 21,920.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,442.69 : 45,632.71 = 14,623.98 : x
  2. Step 2: Convert to fraction form
    30,442.69/45,632.71 = 14,623.98/x
  3. Step 3: Cross multiply
    30,442.69x = 45,632.71 × 14,623.98
  4. Step 4: Simplify right side
    30,442.69x = 667,331,838.39
  5. Step 5: Solve for x
    x = 667,331,838.39/30,442.69
  6. Step 6: Final answer
    x = 21,920.92

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