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Finding the Fourth Proportional to 85,477, 128,200.62 and 23,132.92

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Solution

The fourth proportional to 85,477, 128,200.62 and 23,132.92 is: 34,695.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,477 : 128,200.62 = 23,132.92 : x
  2. Step 2: Convert to fraction form
    85,477/128,200.62 = 23,132.92/x
  3. Step 3: Cross multiply
    85,477x = 128,200.62 × 23,132.92
  4. Step 4: Simplify right side
    85,477x = 2,965,654,686.41
  5. Step 5: Solve for x
    x = 2,965,654,686.41/85,477
  6. Step 6: Final answer
    x = 34,695.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.