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Finding the Fourth Proportional to 86,382, 119,207.43 and 48,657.06

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Solution

The fourth proportional to 86,382, 119,207.43 and 48,657.06 is: 67,146.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,382 : 119,207.43 = 48,657.06 : x
  2. Step 2: Convert to fraction form
    86,382/119,207.43 = 48,657.06/x
  3. Step 3: Cross multiply
    86,382x = 119,207.43 × 48,657.06
  4. Step 4: Simplify right side
    86,382x = 5,800,283,073.96
  5. Step 5: Solve for x
    x = 5,800,283,073.96/86,382
  6. Step 6: Final answer
    x = 67,146.89

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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.