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Finding the Fourth Proportional to 35,044.38, 52,756.92 and 31,428

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Solution

The fourth proportional to 35,044.38, 52,756.92 and 31,428 is: 47,312.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,044.38 : 52,756.92 = 31,428 : x
  2. Step 2: Convert to fraction form
    35,044.38/52,756.92 = 31,428/x
  3. Step 3: Cross multiply
    35,044.38x = 52,756.92 × 31,428
  4. Step 4: Simplify right side
    35,044.38x = 1,658,044,481.76
  5. Step 5: Solve for x
    x = 1,658,044,481.76/35,044.38
  6. Step 6: Final answer
    x = 47,312.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.