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Finding the Fourth Proportional to 121,167.32, 181,753.41 and 32,420.68

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Solution

The fourth proportional to 121,167.32, 181,753.41 and 32,420.68 is: 48,631.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,167.32 : 181,753.41 = 32,420.68 : x
  2. Step 2: Convert to fraction form
    121,167.32/181,753.41 = 32,420.68/x
  3. Step 3: Cross multiply
    121,167.32x = 181,753.41 × 32,420.68
  4. Step 4: Simplify right side
    121,167.32x = 5,892,569,144.52
  5. Step 5: Solve for x
    x = 5,892,569,144.52/121,167.32
  6. Step 6: Final answer
    x = 48,631.67

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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.