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Finding the Fourth Proportional to 38,534.76, 57,802.12 and 10,832.76

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Solution

The fourth proportional to 38,534.76, 57,802.12 and 10,832.76 is: 16,249.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,534.76 : 57,802.12 = 10,832.76 : x
  2. Step 2: Convert to fraction form
    38,534.76/57,802.12 = 10,832.76/x
  3. Step 3: Cross multiply
    38,534.76x = 57,802.12 × 10,832.76
  4. Step 4: Simplify right side
    38,534.76x = 626,156,493.45
  5. Step 5: Solve for x
    x = 626,156,493.45/38,534.76
  6. Step 6: Final answer
    x = 16,249.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.