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Finding the Fourth Proportional to 71,710.40, 107,565.60 and 55,102.40

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Solution

The fourth proportional to 71,710.40, 107,565.60 and 55,102.40 is: 82,653.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,710.40 : 107,565.60 = 55,102.40 : x
  2. Step 2: Convert to fraction form
    71,710.40/107,565.60 = 55,102.40/x
  3. Step 3: Cross multiply
    71,710.40x = 107,565.60 × 55,102.40
  4. Step 4: Simplify right side
    71,710.40x = 5,927,122,717.44
  5. Step 5: Solve for x
    x = 5,927,122,717.44/71,710.40
  6. Step 6: Final answer
    x = 82,653.60

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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.