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Finding the Fourth Proportional to 32,631.40, 48,948.96 and 9,256

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Solution

The fourth proportional to 32,631.40, 48,948.96 and 9,256 is: 13,884.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,631.40 : 48,948.96 = 9,256 : x
  2. Step 2: Convert to fraction form
    32,631.40/48,948.96 = 9,256/x
  3. Step 3: Cross multiply
    32,631.40x = 48,948.96 × 9,256
  4. Step 4: Simplify right side
    32,631.40x = 453,071,573.76
  5. Step 5: Solve for x
    x = 453,071,573.76/32,631.40
  6. Step 6: Final answer
    x = 13,884.53

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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.