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Finding the Fourth Proportional to 32,362.48, 48,543.67 and 10,177.79

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Solution

The fourth proportional to 32,362.48, 48,543.67 and 10,177.79 is: 15,266.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,362.48 : 48,543.67 = 10,177.79 : x
  2. Step 2: Convert to fraction form
    32,362.48/48,543.67 = 10,177.79/x
  3. Step 3: Cross multiply
    32,362.48x = 48,543.67 × 10,177.79
  4. Step 4: Simplify right side
    32,362.48x = 494,067,279.09
  5. Step 5: Solve for x
    x = 494,067,279.09/32,362.48
  6. Step 6: Final answer
    x = 15,266.67

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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.