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Finding the Fourth Proportional to 71,332.45, 107,019.50 and 31,880.33

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Solution

The fourth proportional to 71,332.45, 107,019.50 and 31,880.33 is: 47,829.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,332.45 : 107,019.50 = 31,880.33 : x
  2. Step 2: Convert to fraction form
    71,332.45/107,019.50 = 31,880.33/x
  3. Step 3: Cross multiply
    71,332.45x = 107,019.50 × 31,880.33
  4. Step 4: Simplify right side
    71,332.45x = 3,411,817,323.68
  5. Step 5: Solve for x
    x = 3,411,817,323.68/71,332.45
  6. Step 6: Final answer
    x = 47,829.81

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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.