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Finding the Fourth Proportional to 86,264.16, 119,020.80 and 50,462.88

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Solution

The fourth proportional to 86,264.16, 119,020.80 and 50,462.88 is: 69,624.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,264.16 : 119,020.80 = 50,462.88 : x
  2. Step 2: Convert to fraction form
    86,264.16/119,020.80 = 50,462.88/x
  3. Step 3: Cross multiply
    86,264.16x = 119,020.80 × 50,462.88
  4. Step 4: Simplify right side
    86,264.16x = 6,006,132,347.90
  5. Step 5: Solve for x
    x = 6,006,132,347.90/86,264.16
  6. Step 6: Final answer
    x = 69,624.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.