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Finding the Fourth Proportional to 32,547.38, 48,820.20 and 10,362.10

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Solution

The fourth proportional to 32,547.38, 48,820.20 and 10,362.10 is: 15,542.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,547.38 : 48,820.20 = 10,362.10 : x
  2. Step 2: Convert to fraction form
    32,547.38/48,820.20 = 10,362.10/x
  3. Step 3: Cross multiply
    32,547.38x = 48,820.20 × 10,362.10
  4. Step 4: Simplify right side
    32,547.38x = 505,879,794.42
  5. Step 5: Solve for x
    x = 505,879,794.42/32,547.38
  6. Step 6: Final answer
    x = 15,542.87

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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.