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Finding the Fourth Proportional to 86,462.19, 119,314.88 and 47,701.56

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Solution

The fourth proportional to 86,462.19, 119,314.88 and 47,701.56 is: 65,826.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,462.19 : 119,314.88 = 47,701.56 : x
  2. Step 2: Convert to fraction form
    86,462.19/119,314.88 = 47,701.56/x
  3. Step 3: Cross multiply
    86,462.19x = 119,314.88 × 47,701.56
  4. Step 4: Simplify right side
    86,462.19x = 5,691,505,668.71
  5. Step 5: Solve for x
    x = 5,691,505,668.71/86,462.19
  6. Step 6: Final answer
    x = 65,826.53

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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.