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Finding the Fourth Proportional to 95,152.64, 131,311.76 and 52,712

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Solution

The fourth proportional to 95,152.64, 131,311.76 and 52,712 is: 72,743.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,152.64 : 131,311.76 = 52,712 : x
  2. Step 2: Convert to fraction form
    95,152.64/131,311.76 = 52,712/x
  3. Step 3: Cross multiply
    95,152.64x = 131,311.76 × 52,712
  4. Step 4: Simplify right side
    95,152.64x = 6,921,705,493.12
  5. Step 5: Solve for x
    x = 6,921,705,493.12/95,152.64
  6. Step 6: Final answer
    x = 72,743.18

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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.