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Finding the Fourth Proportional to 38,303.70, 52,862.28 and 21,311.14

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Solution

The fourth proportional to 38,303.70, 52,862.28 and 21,311.14 is: 29,411.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,303.70 : 52,862.28 = 21,311.14 : x
  2. Step 2: Convert to fraction form
    38,303.70/52,862.28 = 21,311.14/x
  3. Step 3: Cross multiply
    38,303.70x = 52,862.28 × 21,311.14
  4. Step 4: Simplify right side
    38,303.70x = 1,126,555,449.80
  5. Step 5: Solve for x
    x = 1,126,555,449.80/38,303.70
  6. Step 6: Final answer
    x = 29,411.14

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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.