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Finding the Fourth Proportional to 44,653, 61,621.14 and 24,781

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Solution

The fourth proportional to 44,653, 61,621.14 and 24,781 is: 34,197.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,653 : 61,621.14 = 24,781 : x
  2. Step 2: Convert to fraction form
    44,653/61,621.14 = 24,781/x
  3. Step 3: Cross multiply
    44,653x = 61,621.14 × 24,781
  4. Step 4: Simplify right side
    44,653x = 1,527,033,470.34
  5. Step 5: Solve for x
    x = 1,527,033,470.34/44,653
  6. Step 6: Final answer
    x = 34,197.78

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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.