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Finding the Fourth Proportional to 32,494.38, 48,723.35 and 10,303.62

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Solution

The fourth proportional to 32,494.38, 48,723.35 and 10,303.62 is: 15,449.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,494.38 : 48,723.35 = 10,303.62 : x
  2. Step 2: Convert to fraction form
    32,494.38/48,723.35 = 10,303.62/x
  3. Step 3: Cross multiply
    32,494.38x = 48,723.35 × 10,303.62
  4. Step 4: Simplify right side
    32,494.38x = 502,026,832.01
  5. Step 5: Solve for x
    x = 502,026,832.01/32,494.38
  6. Step 6: Final answer
    x = 15,449.65

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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.