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Finding the Fourth Proportional to 32,642.98, 48,964.38 and 9,269.44

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Solution

The fourth proportional to 32,642.98, 48,964.38 and 9,269.44 is: 13,904.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,642.98 : 48,964.38 = 9,269.44 : x
  2. Step 2: Convert to fraction form
    32,642.98/48,964.38 = 9,269.44/x
  3. Step 3: Cross multiply
    32,642.98x = 48,964.38 × 9,269.44
  4. Step 4: Simplify right side
    32,642.98x = 453,872,382.55
  5. Step 5: Solve for x
    x = 453,872,382.55/32,642.98
  6. Step 6: Final answer
    x = 13,904.13

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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.