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Finding the Fourth Proportional to 57,101.76, 85,677.14 and 22,066.02

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Solution

The fourth proportional to 57,101.76, 85,677.14 and 22,066.02 is: 33,108.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,101.76 : 85,677.14 = 22,066.02 : x
  2. Step 2: Convert to fraction form
    57,101.76/85,677.14 = 22,066.02/x
  3. Step 3: Cross multiply
    57,101.76x = 85,677.14 × 22,066.02
  4. Step 4: Simplify right side
    57,101.76x = 1,890,553,484.78
  5. Step 5: Solve for x
    x = 1,890,553,484.78/57,101.76
  6. Step 6: Final answer
    x = 33,108.50

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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.