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Finding the Fourth Proportional to 57,147.84, 85,680.22 and 23,877.42

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Solution

The fourth proportional to 57,147.84, 85,680.22 and 23,877.42 is: 35,798.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,147.84 : 85,680.22 = 23,877.42 : x
  2. Step 2: Convert to fraction form
    57,147.84/85,680.22 = 23,877.42/x
  3. Step 3: Cross multiply
    57,147.84x = 85,680.22 × 23,877.42
  4. Step 4: Simplify right side
    57,147.84x = 2,045,822,307.18
  5. Step 5: Solve for x
    x = 2,045,822,307.18/57,147.84
  6. Step 6: Final answer
    x = 35,798.77

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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.