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Finding the Fourth Proportional to 52,079.46, 78,103.02 and 18,795.18

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Solution

The fourth proportional to 52,079.46, 78,103.02 and 18,795.18 is: 28,186.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,079.46 : 78,103.02 = 18,795.18 : x
  2. Step 2: Convert to fraction form
    52,079.46/78,103.02 = 18,795.18/x
  3. Step 3: Cross multiply
    52,079.46x = 78,103.02 × 18,795.18
  4. Step 4: Simplify right side
    52,079.46x = 1,467,960,319.44
  5. Step 5: Solve for x
    x = 1,467,960,319.44/52,079.46
  6. Step 6: Final answer
    x = 28,186.93

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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.