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Finding the Fourth Proportional to 58,505.76, 80,737.84 and 31,648.18

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Solution

The fourth proportional to 58,505.76, 80,737.84 and 31,648.18 is: 43,674.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,505.76 : 80,737.84 = 31,648.18 : x
  2. Step 2: Convert to fraction form
    58,505.76/80,737.84 = 31,648.18/x
  3. Step 3: Cross multiply
    58,505.76x = 80,737.84 × 31,648.18
  4. Step 4: Simplify right side
    58,505.76x = 2,555,205,693.13
  5. Step 5: Solve for x
    x = 2,555,205,693.13/58,505.76
  6. Step 6: Final answer
    x = 43,674.43

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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.