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Finding the Fourth Proportional to 53,866.89, 80,773.30 and 31,384.83

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Solution

The fourth proportional to 53,866.89, 80,773.30 and 31,384.83 is: 47,061.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,866.89 : 80,773.30 = 31,384.83 : x
  2. Step 2: Convert to fraction form
    53,866.89/80,773.30 = 31,384.83/x
  3. Step 3: Cross multiply
    53,866.89x = 80,773.30 × 31,384.83
  4. Step 4: Simplify right side
    53,866.89x = 2,535,056,631.17
  5. Step 5: Solve for x
    x = 2,535,056,631.17/53,866.89
  6. Step 6: Final answer
    x = 47,061.50

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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.