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Finding the Fourth Proportional to 55,333.50, 82,920.48 and 31,567.79

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Solution

The fourth proportional to 55,333.50, 82,920.48 and 31,567.79 is: 47,306.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,333.50 : 82,920.48 = 31,567.79 : x
  2. Step 2: Convert to fraction form
    55,333.50/82,920.48 = 31,567.79/x
  3. Step 3: Cross multiply
    55,333.50x = 82,920.48 × 31,567.79
  4. Step 4: Simplify right side
    55,333.50x = 2,617,615,884.74
  5. Step 5: Solve for x
    x = 2,617,615,884.74/55,333.50
  6. Step 6: Final answer
    x = 47,306.17

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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.