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Finding the Fourth Proportional to 121,166.32, 181,751.91 and 32,419.68

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Solution

The fourth proportional to 121,166.32, 181,751.91 and 32,419.68 is: 48,630.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,166.32 : 181,751.91 = 32,419.68 : x
  2. Step 2: Convert to fraction form
    121,166.32/181,751.91 = 32,419.68/x
  3. Step 3: Cross multiply
    121,166.32x = 181,751.91 × 32,419.68
  4. Step 4: Simplify right side
    121,166.32x = 5,892,338,640.02
  5. Step 5: Solve for x
    x = 5,892,338,640.02/121,166.32
  6. Step 6: Final answer
    x = 48,630.17

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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.