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Finding the Fourth Proportional to 32,465.48, 48,697.92 and 10,278.80

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Solution

The fourth proportional to 32,465.48, 48,697.92 and 10,278.80 is: 15,418.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,465.48 : 48,697.92 = 10,278.80 : x
  2. Step 2: Convert to fraction form
    32,465.48/48,697.92 = 10,278.80/x
  3. Step 3: Cross multiply
    32,465.48x = 48,697.92 × 10,278.80
  4. Step 4: Simplify right side
    32,465.48x = 500,556,180.10
  5. Step 5: Solve for x
    x = 500,556,180.10/32,465.48
  6. Step 6: Final answer
    x = 15,418.11

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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.