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Finding the Fourth Proportional to 65,007.60, 97,511.40 and 27,561.30

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Solution

The fourth proportional to 65,007.60, 97,511.40 and 27,561.30 is: 41,341.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,007.60 : 97,511.40 = 27,561.30 : x
  2. Step 2: Convert to fraction form
    65,007.60/97,511.40 = 27,561.30/x
  3. Step 3: Cross multiply
    65,007.60x = 97,511.40 × 27,561.30
  4. Step 4: Simplify right side
    65,007.60x = 2,687,540,948.82
  5. Step 5: Solve for x
    x = 2,687,540,948.82/65,007.60
  6. Step 6: Final answer
    x = 41,341.95

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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.