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Finding the Fourth Proportional to 95,213.46, 142,840.17 and 28,658.46

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Solution

The fourth proportional to 95,213.46, 142,840.17 and 28,658.46 is: 42,993.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,213.46 : 142,840.17 = 28,658.46 : x
  2. Step 2: Convert to fraction form
    95,213.46/142,840.17 = 28,658.46/x
  3. Step 3: Cross multiply
    95,213.46x = 142,840.17 × 28,658.46
  4. Step 4: Simplify right side
    95,213.46x = 4,093,579,298.34
  5. Step 5: Solve for x
    x = 4,093,579,298.34/95,213.46
  6. Step 6: Final answer
    x = 42,993.70

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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.