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Finding the Fourth Proportional to 102,423.44, 153,635.16 and 32,308.20

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Solution

The fourth proportional to 102,423.44, 153,635.16 and 32,308.20 is: 48,462.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,423.44 : 153,635.16 = 32,308.20 : x
  2. Step 2: Convert to fraction form
    102,423.44/153,635.16 = 32,308.20/x
  3. Step 3: Cross multiply
    102,423.44x = 153,635.16 × 32,308.20
  4. Step 4: Simplify right side
    102,423.44x = 4,963,675,476.31
  5. Step 5: Solve for x
    x = 4,963,675,476.31/102,423.44
  6. Step 6: Final answer
    x = 48,462.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.