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Finding the Fourth Proportional to 38,002.50, 52,446.69 and 21,238.74

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Solution

The fourth proportional to 38,002.50, 52,446.69 and 21,238.74 is: 29,311.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,002.50 : 52,446.69 = 21,238.74 : x
  2. Step 2: Convert to fraction form
    38,002.50/52,446.69 = 21,238.74/x
  3. Step 3: Cross multiply
    38,002.50x = 52,446.69 × 21,238.74
  4. Step 4: Simplify right side
    38,002.50x = 1,113,901,612.77
  5. Step 5: Solve for x
    x = 1,113,901,612.77/38,002.50
  6. Step 6: Final answer
    x = 29,311.27

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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.