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Finding the Fourth Proportional to 86,239.84, 119,009.76 and 48,514

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Solution

The fourth proportional to 86,239.84, 119,009.76 and 48,514 is: 66,948.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,239.84 : 119,009.76 = 48,514 : x
  2. Step 2: Convert to fraction form
    86,239.84/119,009.76 = 48,514/x
  3. Step 3: Cross multiply
    86,239.84x = 119,009.76 × 48,514
  4. Step 4: Simplify right side
    86,239.84x = 5,773,639,496.64
  5. Step 5: Solve for x
    x = 5,773,639,496.64/86,239.84
  6. Step 6: Final answer
    x = 66,948.63

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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.