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Finding the Fourth Proportional to 34,478, 47,586.24 and 22,520.72

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Solution

The fourth proportional to 34,478, 47,586.24 and 22,520.72 is: 31,082.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,478 : 47,586.24 = 22,520.72 : x
  2. Step 2: Convert to fraction form
    34,478/47,586.24 = 22,520.72/x
  3. Step 3: Cross multiply
    34,478x = 47,586.24 × 22,520.72
  4. Step 4: Simplify right side
    34,478x = 1,071,676,386.89
  5. Step 5: Solve for x
    x = 1,071,676,386.89/34,478
  6. Step 6: Final answer
    x = 31,082.90

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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.