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Finding the Fourth Proportional to 38,753.76, 53,131.86 and 38,053.92

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Solution

The fourth proportional to 38,753.76, 53,131.86 and 38,053.92 is: 52,172.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,753.76 : 53,131.86 = 38,053.92 : x
  2. Step 2: Convert to fraction form
    38,753.76/53,131.86 = 38,053.92/x
  3. Step 3: Cross multiply
    38,753.76x = 53,131.86 × 38,053.92
  4. Step 4: Simplify right side
    38,753.76x = 2,021,875,549.89
  5. Step 5: Solve for x
    x = 2,021,875,549.89/38,753.76
  6. Step 6: Final answer
    x = 52,172.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.