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Finding the Fourth Proportional to 52,459.83, 78,712.98 and 27,493.91

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Solution

The fourth proportional to 52,459.83, 78,712.98 and 27,493.91 is: 41,253.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,459.83 : 78,712.98 = 27,493.91 : x
  2. Step 2: Convert to fraction form
    52,459.83/78,712.98 = 27,493.91/x
  3. Step 3: Cross multiply
    52,459.83x = 78,712.98 × 27,493.91
  4. Step 4: Simplify right side
    52,459.83x = 2,164,127,587.95
  5. Step 5: Solve for x
    x = 2,164,127,587.95/52,459.83
  6. Step 6: Final answer
    x = 41,253.04

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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.