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Finding the Fourth Proportional to 115,241, 172,890.66 and 32,135

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Solution

The fourth proportional to 115,241, 172,890.66 and 32,135 is: 48,210.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,241 : 172,890.66 = 32,135 : x
  2. Step 2: Convert to fraction form
    115,241/172,890.66 = 32,135/x
  3. Step 3: Cross multiply
    115,241x = 172,890.66 × 32,135
  4. Step 4: Simplify right side
    115,241x = 5,555,841,359.10
  5. Step 5: Solve for x
    x = 5,555,841,359.10/115,241
  6. Step 6: Final answer
    x = 48,210.63

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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.