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Finding the Fourth Proportional to 38,498, 53,127.76 and 21,731.12

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Solution

The fourth proportional to 38,498, 53,127.76 and 21,731.12 is: 29,989.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,498 : 53,127.76 = 21,731.12 : x
  2. Step 2: Convert to fraction form
    38,498/53,127.76 = 21,731.12/x
  3. Step 3: Cross multiply
    38,498x = 53,127.76 × 21,731.12
  4. Step 4: Simplify right side
    38,498x = 1,154,525,727.89
  5. Step 5: Solve for x
    x = 1,154,525,727.89/38,498
  6. Step 6: Final answer
    x = 29,989.24

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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.