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Finding the Fourth Proportional to 92,597.76, 127,778.26 and 54,358.86

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Solution

The fourth proportional to 92,597.76, 127,778.26 and 54,358.86 is: 75,011.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,597.76 : 127,778.26 = 54,358.86 : x
  2. Step 2: Convert to fraction form
    92,597.76/127,778.26 = 54,358.86/x
  3. Step 3: Cross multiply
    92,597.76x = 127,778.26 × 54,358.86
  4. Step 4: Simplify right side
    92,597.76x = 6,945,880,546.38
  5. Step 5: Solve for x
    x = 6,945,880,546.38/92,597.76
  6. Step 6: Final answer
    x = 75,011.32

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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.