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Finding the Fourth Proportional to 52,647.59, 78,962.78 and 17,587.15

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Solution

The fourth proportional to 52,647.59, 78,962.78 and 17,587.15 is: 26,377.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,647.59 : 78,962.78 = 17,587.15 : x
  2. Step 2: Convert to fraction form
    52,647.59/78,962.78 = 17,587.15/x
  3. Step 3: Cross multiply
    52,647.59x = 78,962.78 × 17,587.15
  4. Step 4: Simplify right side
    52,647.59x = 1,388,730,102.84
  5. Step 5: Solve for x
    x = 1,388,730,102.84/52,647.59
  6. Step 6: Final answer
    x = 26,377.85

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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.