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Finding the Fourth Proportional to 57,002.30, 85,503.45 and 36,007.10

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Solution

The fourth proportional to 57,002.30, 85,503.45 and 36,007.10 is: 54,010.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,002.30 : 85,503.45 = 36,007.10 : x
  2. Step 2: Convert to fraction form
    57,002.30/85,503.45 = 36,007.10/x
  3. Step 3: Cross multiply
    57,002.30x = 85,503.45 × 36,007.10
  4. Step 4: Simplify right side
    57,002.30x = 3,078,731,274.50
  5. Step 5: Solve for x
    x = 3,078,731,274.50/57,002.30
  6. Step 6: Final answer
    x = 54,010.65

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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.