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Finding the Fourth Proportional to 98,472.53, 147,731.99 and 31,912.40

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Solution

The fourth proportional to 98,472.53, 147,731.99 and 31,912.40 is: 47,876.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,472.53 : 147,731.99 = 31,912.40 : x
  2. Step 2: Convert to fraction form
    98,472.53/147,731.99 = 31,912.40/x
  3. Step 3: Cross multiply
    98,472.53x = 147,731.99 × 31,912.40
  4. Step 4: Simplify right side
    98,472.53x = 4,714,482,567.44
  5. Step 5: Solve for x
    x = 4,714,482,567.44/98,472.53
  6. Step 6: Final answer
    x = 47,876.12

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Why These Related Problems?

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