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Finding the Fourth Proportional to 65,200.40, 97,817.88 and 25,747.92

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Solution

The fourth proportional to 65,200.40, 97,817.88 and 25,747.92 is: 38,628.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,200.40 : 97,817.88 = 25,747.92 : x
  2. Step 2: Convert to fraction form
    65,200.40/97,817.88 = 25,747.92/x
  3. Step 3: Cross multiply
    65,200.40x = 97,817.88 × 25,747.92
  4. Step 4: Simplify right side
    65,200.40x = 2,518,606,948.81
  5. Step 5: Solve for x
    x = 2,518,606,948.81/65,200.40
  6. Step 6: Final answer
    x = 38,628.70

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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.