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Finding the Fourth Proportional to 107,407.92, 161,113.50 and 37,289.46

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Solution

The fourth proportional to 107,407.92, 161,113.50 and 37,289.46 is: 55,934.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,407.92 : 161,113.50 = 37,289.46 : x
  2. Step 2: Convert to fraction form
    107,407.92/161,113.50 = 37,289.46/x
  3. Step 3: Cross multiply
    107,407.92x = 161,113.50 × 37,289.46
  4. Step 4: Simplify right side
    107,407.92x = 6,007,835,413.71
  5. Step 5: Solve for x
    x = 6,007,835,413.71/107,407.92
  6. Step 6: Final answer
    x = 55,934.75

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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.