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Finding the Fourth Proportional to 59,424, 82,005.12 and 35,551.68

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Solution

The fourth proportional to 59,424, 82,005.12 and 35,551.68 is: 49,061.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,424 : 82,005.12 = 35,551.68 : x
  2. Step 2: Convert to fraction form
    59,424/82,005.12 = 35,551.68/x
  3. Step 3: Cross multiply
    59,424x = 82,005.12 × 35,551.68
  4. Step 4: Simplify right side
    59,424x = 2,915,419,784.60
  5. Step 5: Solve for x
    x = 2,915,419,784.60/59,424
  6. Step 6: Final answer
    x = 49,061.32

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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.