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Finding the Fourth Proportional to 32,402.40, 48,529.07 and 27,041.82

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Solution

The fourth proportional to 32,402.40, 48,529.07 and 27,041.82 is: 40,500.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,402.40 : 48,529.07 = 27,041.82 : x
  2. Step 2: Convert to fraction form
    32,402.40/48,529.07 = 27,041.82/x
  3. Step 3: Cross multiply
    32,402.40x = 48,529.07 × 27,041.82
  4. Step 4: Simplify right side
    32,402.40x = 1,312,314,375.71
  5. Step 5: Solve for x
    x = 1,312,314,375.71/32,402.40
  6. Step 6: Final answer
    x = 40,500.53

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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.