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Finding the Fourth Proportional to 42,710.35, 64,065.54 and 11,545.60

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Solution

The fourth proportional to 42,710.35, 64,065.54 and 11,545.60 is: 17,318.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,710.35 : 64,065.54 = 11,545.60 : x
  2. Step 2: Convert to fraction form
    42,710.35/64,065.54 = 11,545.60/x
  3. Step 3: Cross multiply
    42,710.35x = 64,065.54 × 11,545.60
  4. Step 4: Simplify right side
    42,710.35x = 739,675,098.62
  5. Step 5: Solve for x
    x = 739,675,098.62/42,710.35
  6. Step 6: Final answer
    x = 17,318.40

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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.