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Finding the Fourth Proportional to 84,741.69, 127,062.70 and 32,154.87

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Solution

The fourth proportional to 84,741.69, 127,062.70 and 32,154.87 is: 48,213.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,741.69 : 127,062.70 = 32,154.87 : x
  2. Step 2: Convert to fraction form
    84,741.69/127,062.70 = 32,154.87/x
  3. Step 3: Cross multiply
    84,741.69x = 127,062.70 × 32,154.87
  4. Step 4: Simplify right side
    84,741.69x = 4,085,684,958.20
  5. Step 5: Solve for x
    x = 4,085,684,958.20/84,741.69
  6. Step 6: Final answer
    x = 48,213.40

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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.