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Finding the Fourth Proportional to 42,553.09, 58,720.98 and 23,689

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Solution

The fourth proportional to 42,553.09, 58,720.98 and 23,689 is: 32,689.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,553.09 : 58,720.98 = 23,689 : x
  2. Step 2: Convert to fraction form
    42,553.09/58,720.98 = 23,689/x
  3. Step 3: Cross multiply
    42,553.09x = 58,720.98 × 23,689
  4. Step 4: Simplify right side
    42,553.09x = 1,391,041,295.22
  5. Step 5: Solve for x
    x = 1,391,041,295.22/42,553.09
  6. Step 6: Final answer
    x = 32,689.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.