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Finding the Fourth Proportional to 85,737.47, 128,084.69 and 55,505.42

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Solution

The fourth proportional to 85,737.47, 128,084.69 and 55,505.42 is: 82,920.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,737.47 : 128,084.69 = 55,505.42 : x
  2. Step 2: Convert to fraction form
    85,737.47/128,084.69 = 55,505.42/x
  3. Step 3: Cross multiply
    85,737.47x = 128,084.69 × 55,505.42
  4. Step 4: Simplify right side
    85,737.47x = 7,109,393,596.07
  5. Step 5: Solve for x
    x = 7,109,393,596.07/85,737.47
  6. Step 6: Final answer
    x = 82,920.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.