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Finding the Fourth Proportional to 59,592.73, 89,413.46 and 31,505.30

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Solution

The fourth proportional to 59,592.73, 89,413.46 and 31,505.30 is: 47,270.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,592.73 : 89,413.46 = 31,505.30 : x
  2. Step 2: Convert to fraction form
    59,592.73/89,413.46 = 31,505.30/x
  3. Step 3: Cross multiply
    59,592.73x = 89,413.46 × 31,505.30
  4. Step 4: Simplify right side
    59,592.73x = 2,816,997,881.34
  5. Step 5: Solve for x
    x = 2,816,997,881.34/59,592.73
  6. Step 6: Final answer
    x = 47,270.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.