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Finding the Fourth Proportional to 38,002.55, 52,443.50 and 21,006.81

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Solution

The fourth proportional to 38,002.55, 52,443.50 and 21,006.81 is: 28,989.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,002.55 : 52,443.50 = 21,006.81 : x
  2. Step 2: Convert to fraction form
    38,002.55/52,443.50 = 21,006.81/x
  3. Step 3: Cross multiply
    38,002.55x = 52,443.50 × 21,006.81
  4. Step 4: Simplify right side
    38,002.55x = 1,101,670,535.20
  5. Step 5: Solve for x
    x = 1,101,670,535.20/38,002.55
  6. Step 6: Final answer
    x = 28,989.39

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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.