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Finding the Fourth Proportional to 32,412.78, 48,619.18 and 10,227.90

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Solution

The fourth proportional to 32,412.78, 48,619.18 and 10,227.90 is: 15,341.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,412.78 : 48,619.18 = 10,227.90 : x
  2. Step 2: Convert to fraction form
    32,412.78/48,619.18 = 10,227.90/x
  3. Step 3: Cross multiply
    32,412.78x = 48,619.18 × 10,227.90
  4. Step 4: Simplify right side
    32,412.78x = 497,272,111.12
  5. Step 5: Solve for x
    x = 497,272,111.12/32,412.78
  6. Step 6: Final answer
    x = 15,341.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.