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Finding the Fourth Proportional to 57,068.91, 85,541.90 and 23,780.07

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Solution

The fourth proportional to 57,068.91, 85,541.90 and 23,780.07 is: 35,644.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,068.91 : 85,541.90 = 23,780.07 : x
  2. Step 2: Convert to fraction form
    57,068.91/85,541.90 = 23,780.07/x
  3. Step 3: Cross multiply
    57,068.91x = 85,541.90 × 23,780.07
  4. Step 4: Simplify right side
    57,068.91x = 2,034,192,251.03
  5. Step 5: Solve for x
    x = 2,034,192,251.03/57,068.91
  6. Step 6: Final answer
    x = 35,644.49

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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.