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Finding the Fourth Proportional to 94,098.78, 129,857.31 and 51,656.40

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Solution

The fourth proportional to 94,098.78, 129,857.31 and 51,656.40 is: 71,286.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,098.78 : 129,857.31 = 51,656.40 : x
  2. Step 2: Convert to fraction form
    94,098.78/129,857.31 = 51,656.40/x
  3. Step 3: Cross multiply
    94,098.78x = 129,857.31 × 51,656.40
  4. Step 4: Simplify right side
    94,098.78x = 6,707,961,148.28
  5. Step 5: Solve for x
    x = 6,707,961,148.28/94,098.78
  6. Step 6: Final answer
    x = 71,286.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.