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Finding the Fourth Proportional to 78,095.84, 117,142.72 and 18,932.04

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Solution

The fourth proportional to 78,095.84, 117,142.72 and 18,932.04 is: 28,397.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,095.84 : 117,142.72 = 18,932.04 : x
  2. Step 2: Convert to fraction form
    78,095.84/117,142.72 = 18,932.04/x
  3. Step 3: Cross multiply
    78,095.84x = 117,142.72 × 18,932.04
  4. Step 4: Simplify right side
    78,095.84x = 2,217,750,660.75
  5. Step 5: Solve for x
    x = 2,217,750,660.75/78,095.84
  6. Step 6: Final answer
    x = 28,397.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.