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Finding the Fourth Proportional to 34,586.64, 47,721.96 and 20,432.16

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Solution

The fourth proportional to 34,586.64, 47,721.96 and 20,432.16 is: 28,191.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,586.64 : 47,721.96 = 20,432.16 : x
  2. Step 2: Convert to fraction form
    34,586.64/47,721.96 = 20,432.16/x
  3. Step 3: Cross multiply
    34,586.64x = 47,721.96 × 20,432.16
  4. Step 4: Simplify right side
    34,586.64x = 975,062,722.23
  5. Step 5: Solve for x
    x = 975,062,722.23/34,586.64
  6. Step 6: Final answer
    x = 28,191.89

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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.