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Finding the Fourth Proportional to 95,176, 131,342.88 and 55,432

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Solution

The fourth proportional to 95,176, 131,342.88 and 55,432 is: 76,496.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,176 : 131,342.88 = 55,432 : x
  2. Step 2: Convert to fraction form
    95,176/131,342.88 = 55,432/x
  3. Step 3: Cross multiply
    95,176x = 131,342.88 × 55,432
  4. Step 4: Simplify right side
    95,176x = 7,280,598,524.16
  5. Step 5: Solve for x
    x = 7,280,598,524.16/95,176
  6. Step 6: Final answer
    x = 76,496.16

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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.