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Finding the Fourth Proportional to 83,737.02, 115,550.38 and 47,918.82

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Solution

The fourth proportional to 83,737.02, 115,550.38 and 47,918.82 is: 66,124.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,737.02 : 115,550.38 = 47,918.82 : x
  2. Step 2: Convert to fraction form
    83,737.02/115,550.38 = 47,918.82/x
  3. Step 3: Cross multiply
    83,737.02x = 115,550.38 × 47,918.82
  4. Step 4: Simplify right side
    83,737.02x = 5,537,037,860.15
  5. Step 5: Solve for x
    x = 5,537,037,860.15/83,737.02
  6. Step 6: Final answer
    x = 66,124.13

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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.