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Finding the Fourth Proportional to 44,320, 61,165.92 and 24,448

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Solution

The fourth proportional to 44,320, 61,165.92 and 24,448 is: 33,740.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,320 : 61,165.92 = 24,448 : x
  2. Step 2: Convert to fraction form
    44,320/61,165.92 = 24,448/x
  3. Step 3: Cross multiply
    44,320x = 61,165.92 × 24,448
  4. Step 4: Simplify right side
    44,320x = 1,495,384,412.16
  5. Step 5: Solve for x
    x = 1,495,384,412.16/44,320
  6. Step 6: Final answer
    x = 33,740.62

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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.