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Finding the Fourth Proportional to 32,066.28, 48,105.80 and 9,878.71

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Solution

The fourth proportional to 32,066.28, 48,105.80 and 9,878.71 is: 14,820.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,066.28 : 48,105.80 = 9,878.71 : x
  2. Step 2: Convert to fraction form
    32,066.28/48,105.80 = 9,878.71/x
  3. Step 3: Cross multiply
    32,066.28x = 48,105.80 × 9,878.71
  4. Step 4: Simplify right side
    32,066.28x = 475,223,247.52
  5. Step 5: Solve for x
    x = 475,223,247.52/32,066.28
  6. Step 6: Final answer
    x = 14,820.03

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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.