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Finding the Fourth Proportional to 95,298.94, 142,911.93 and 32,102.08

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Solution

The fourth proportional to 95,298.94, 142,911.93 and 32,102.08 is: 48,140.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,298.94 : 142,911.93 = 32,102.08 : x
  2. Step 2: Convert to fraction form
    95,298.94/142,911.93 = 32,102.08/x
  3. Step 3: Cross multiply
    95,298.94x = 142,911.93 × 32,102.08
  4. Step 4: Simplify right side
    95,298.94x = 4,587,770,508.84
  5. Step 5: Solve for x
    x = 4,587,770,508.84/95,298.94
  6. Step 6: Final answer
    x = 48,140.83

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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.