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Finding the Fourth Proportional to 85,123.88, 127,643.10 and 49,596.68

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Solution

The fourth proportional to 85,123.88, 127,643.10 and 49,596.68 is: 74,370.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,123.88 : 127,643.10 = 49,596.68 : x
  2. Step 2: Convert to fraction form
    85,123.88/127,643.10 = 49,596.68/x
  3. Step 3: Cross multiply
    85,123.88x = 127,643.10 × 49,596.68
  4. Step 4: Simplify right side
    85,123.88x = 6,330,673,984.91
  5. Step 5: Solve for x
    x = 6,330,673,984.91/85,123.88
  6. Step 6: Final answer
    x = 74,370.13

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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.