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Finding the Fourth Proportional to 44,306, 61,142.28 and 24,434

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Solution

The fourth proportional to 44,306, 61,142.28 and 24,434 is: 33,718.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,306 : 61,142.28 = 24,434 : x
  2. Step 2: Convert to fraction form
    44,306/61,142.28 = 24,434/x
  3. Step 3: Cross multiply
    44,306x = 61,142.28 × 24,434
  4. Step 4: Simplify right side
    44,306x = 1,493,950,469.52
  5. Step 5: Solve for x
    x = 1,493,950,469.52/44,306
  6. Step 6: Final answer
    x = 33,718.92

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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.