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Finding the Fourth Proportional to 65,221.92, 97,775.28 and 28,265.76

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Solution

The fourth proportional to 65,221.92, 97,775.28 and 28,265.76 is: 42,373.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,221.92 : 97,775.28 = 28,265.76 : x
  2. Step 2: Convert to fraction form
    65,221.92/97,775.28 = 28,265.76/x
  3. Step 3: Cross multiply
    65,221.92x = 97,775.28 × 28,265.76
  4. Step 4: Simplify right side
    65,221.92x = 2,763,692,598.41
  5. Step 5: Solve for x
    x = 2,763,692,598.41/65,221.92
  6. Step 6: Final answer
    x = 42,373.68

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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.