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Finding the Fourth Proportional to 51,253.29, 70,731.29 and 29,741.38

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Solution

The fourth proportional to 51,253.29, 70,731.29 and 29,741.38 is: 41,044.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,253.29 : 70,731.29 = 29,741.38 : x
  2. Step 2: Convert to fraction form
    51,253.29/70,731.29 = 29,741.38/x
  3. Step 3: Cross multiply
    51,253.29x = 70,731.29 × 29,741.38
  4. Step 4: Simplify right side
    51,253.29x = 2,103,646,071.31
  5. Step 5: Solve for x
    x = 2,103,646,071.31/51,253.29
  6. Step 6: Final answer
    x = 41,044.12

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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.