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Finding the Fourth Proportional to 44,656, 61,625.28 and 24,784

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Solution

The fourth proportional to 44,656, 61,625.28 and 24,784 is: 34,201.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,656 : 61,625.28 = 24,784 : x
  2. Step 2: Convert to fraction form
    44,656/61,625.28 = 24,784/x
  3. Step 3: Cross multiply
    44,656x = 61,625.28 × 24,784
  4. Step 4: Simplify right side
    44,656x = 1,527,320,939.52
  5. Step 5: Solve for x
    x = 1,527,320,939.52/44,656
  6. Step 6: Final answer
    x = 34,201.92

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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.