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Finding the Fourth Proportional to 92,524.65, 127,687.10 and 56,707.76

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Solution

The fourth proportional to 92,524.65, 127,687.10 and 56,707.76 is: 78,258.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,524.65 : 127,687.10 = 56,707.76 : x
  2. Step 2: Convert to fraction form
    92,524.65/127,687.10 = 56,707.76/x
  3. Step 3: Cross multiply
    92,524.65x = 127,687.10 × 56,707.76
  4. Step 4: Simplify right side
    92,524.65x = 7,240,848,499.92
  5. Step 5: Solve for x
    x = 7,240,848,499.92/92,524.65
  6. Step 6: Final answer
    x = 78,258.59

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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.