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Finding the Fourth Proportional to 53,454.32, 73,765.14 and 29,582

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Solution

The fourth proportional to 53,454.32, 73,765.14 and 29,582 is: 40,822.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,454.32 : 73,765.14 = 29,582 : x
  2. Step 2: Convert to fraction form
    53,454.32/73,765.14 = 29,582/x
  3. Step 3: Cross multiply
    53,454.32x = 73,765.14 × 29,582
  4. Step 4: Simplify right side
    53,454.32x = 2,182,120,371.48
  5. Step 5: Solve for x
    x = 2,182,120,371.48/53,454.32
  6. Step 6: Final answer
    x = 40,822.15

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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.