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Finding the Fourth Proportional to 38,750, 58,125.54 and 11,048

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Solution

The fourth proportional to 38,750, 58,125.54 and 11,048 is: 16,572.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,750 : 58,125.54 = 11,048 : x
  2. Step 2: Convert to fraction form
    38,750/58,125.54 = 11,048/x
  3. Step 3: Cross multiply
    38,750x = 58,125.54 × 11,048
  4. Step 4: Simplify right side
    38,750x = 642,170,965.92
  5. Step 5: Solve for x
    x = 642,170,965.92/38,750
  6. Step 6: Final answer
    x = 16,572.15

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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.