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Finding the Fourth Proportional to 95,290, 142,941.06 and 32,104.96

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Solution

The fourth proportional to 95,290, 142,941.06 and 32,104.96 is: 48,159.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,290 : 142,941.06 = 32,104.96 : x
  2. Step 2: Convert to fraction form
    95,290/142,941.06 = 32,104.96/x
  3. Step 3: Cross multiply
    95,290x = 142,941.06 × 32,104.96
  4. Step 4: Simplify right side
    95,290x = 4,589,117,013.66
  5. Step 5: Solve for x
    x = 4,589,117,013.66/95,290
  6. Step 6: Final answer
    x = 48,159.48

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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.