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Finding the Fourth Proportional to 85,693.38, 118,242.72 and 53,839.60

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Solution

The fourth proportional to 85,693.38, 118,242.72 and 53,839.60 is: 74,289.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,693.38 : 118,242.72 = 53,839.60 : x
  2. Step 2: Convert to fraction form
    85,693.38/118,242.72 = 53,839.60/x
  3. Step 3: Cross multiply
    85,693.38x = 118,242.72 × 53,839.60
  4. Step 4: Simplify right side
    85,693.38x = 6,366,140,747.71
  5. Step 5: Solve for x
    x = 6,366,140,747.71/85,693.38
  6. Step 6: Final answer
    x = 74,289.76

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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.