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Finding the Fourth Proportional to 56,984.38, 78,630.12 and 35,770.48

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Solution

The fourth proportional to 56,984.38, 78,630.12 and 35,770.48 is: 49,358.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,984.38 : 78,630.12 = 35,770.48 : x
  2. Step 2: Convert to fraction form
    56,984.38/78,630.12 = 35,770.48/x
  3. Step 3: Cross multiply
    56,984.38x = 78,630.12 × 35,770.48
  4. Step 4: Simplify right side
    56,984.38x = 2,812,637,134.86
  5. Step 5: Solve for x
    x = 2,812,637,134.86/56,984.38
  6. Step 6: Final answer
    x = 49,358.04

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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.