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Finding the Fourth Proportional to 101,735.47, 140,381.94 and 56,413.14

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Solution

The fourth proportional to 101,735.47, 140,381.94 and 56,413.14 is: 77,842.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,735.47 : 140,381.94 = 56,413.14 : x
  2. Step 2: Convert to fraction form
    101,735.47/140,381.94 = 56,413.14/x
  3. Step 3: Cross multiply
    101,735.47x = 140,381.94 × 56,413.14
  4. Step 4: Simplify right side
    101,735.47x = 7,919,386,034.69
  5. Step 5: Solve for x
    x = 7,919,386,034.69/101,735.47
  6. Step 6: Final answer
    x = 77,842.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.