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Finding the Fourth Proportional to 34,508.16, 47,624.30 and 20,358.24

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Solution

The fourth proportional to 34,508.16, 47,624.30 and 20,358.24 is: 28,096.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,508.16 : 47,624.30 = 20,358.24 : x
  2. Step 2: Convert to fraction form
    34,508.16/47,624.30 = 20,358.24/x
  3. Step 3: Cross multiply
    34,508.16x = 47,624.30 × 20,358.24
  4. Step 4: Simplify right side
    34,508.16x = 969,546,929.23
  5. Step 5: Solve for x
    x = 969,546,929.23/34,508.16
  6. Step 6: Final answer
    x = 28,096.16

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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.