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Finding the Fourth Proportional to 127,741.52, 191,613.72 and 48,859.76

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Solution

The fourth proportional to 127,741.52, 191,613.72 and 48,859.76 is: 73,290.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,741.52 : 191,613.72 = 48,859.76 : x
  2. Step 2: Convert to fraction form
    127,741.52/191,613.72 = 48,859.76/x
  3. Step 3: Cross multiply
    127,741.52x = 191,613.72 × 48,859.76
  4. Step 4: Simplify right side
    127,741.52x = 9,362,200,371.91
  5. Step 5: Solve for x
    x = 9,362,200,371.91/127,741.52
  6. Step 6: Final answer
    x = 73,290.19

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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.