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Finding the Fourth Proportional to 38,569.92, 53,224.80 and 22,656

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Solution

The fourth proportional to 38,569.92, 53,224.80 and 22,656 is: 31,264.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,569.92 : 53,224.80 = 22,656 : x
  2. Step 2: Convert to fraction form
    38,569.92/53,224.80 = 22,656/x
  3. Step 3: Cross multiply
    38,569.92x = 53,224.80 × 22,656
  4. Step 4: Simplify right side
    38,569.92x = 1,205,861,068.80
  5. Step 5: Solve for x
    x = 1,205,861,068.80/38,569.92
  6. Step 6: Final answer
    x = 31,264.29

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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.