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Finding the Fourth Proportional to 83,824.30, 115,678.68 and 48,014.29

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Solution

The fourth proportional to 83,824.30, 115,678.68 and 48,014.29 is: 66,260.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,824.30 : 115,678.68 = 48,014.29 : x
  2. Step 2: Convert to fraction form
    83,824.30/115,678.68 = 48,014.29/x
  3. Step 3: Cross multiply
    83,824.30x = 115,678.68 × 48,014.29
  4. Step 4: Simplify right side
    83,824.30x = 5,554,229,688.34
  5. Step 5: Solve for x
    x = 5,554,229,688.34/83,824.30
  6. Step 6: Final answer
    x = 66,260.38

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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.