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Finding the Fourth Proportional to 59,304.49, 81,842.24 and 32,447

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Solution

The fourth proportional to 59,304.49, 81,842.24 and 32,447 is: 44,777.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,304.49 : 81,842.24 = 32,447 : x
  2. Step 2: Convert to fraction form
    59,304.49/81,842.24 = 32,447/x
  3. Step 3: Cross multiply
    59,304.49x = 81,842.24 × 32,447
  4. Step 4: Simplify right side
    59,304.49x = 2,655,535,161.28
  5. Step 5: Solve for x
    x = 2,655,535,161.28/59,304.49
  6. Step 6: Final answer
    x = 44,777.98

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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.