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Finding the Fourth Proportional to 82,780.96, 124,059.60 and 59,356

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Solution

The fourth proportional to 82,780.96, 124,059.60 and 59,356 is: 88,953.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,780.96 : 124,059.60 = 59,356 : x
  2. Step 2: Convert to fraction form
    82,780.96/124,059.60 = 59,356/x
  3. Step 3: Cross multiply
    82,780.96x = 124,059.60 × 59,356
  4. Step 4: Simplify right side
    82,780.96x = 7,363,681,617.60
  5. Step 5: Solve for x
    x = 7,363,681,617.60/82,780.96
  6. Step 6: Final answer
    x = 88,953.81

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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.