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Finding the Fourth Proportional to 34,146.20, 47,113.80 and 20,714.78

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Solution

The fourth proportional to 34,146.20, 47,113.80 and 20,714.78 is: 28,581.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,146.20 : 47,113.80 = 20,714.78 : x
  2. Step 2: Convert to fraction form
    34,146.20/47,113.80 = 20,714.78/x
  3. Step 3: Cross multiply
    34,146.20x = 47,113.80 × 20,714.78
  4. Step 4: Simplify right side
    34,146.20x = 975,952,001.96
  5. Step 5: Solve for x
    x = 975,952,001.96/34,146.20
  6. Step 6: Final answer
    x = 28,581.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.