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Finding the Fourth Proportional to 92,279.84, 138,311.78 and 42,364.76

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Solution

The fourth proportional to 92,279.84, 138,311.78 and 42,364.76 is: 63,497.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,279.84 : 138,311.78 = 42,364.76 : x
  2. Step 2: Convert to fraction form
    92,279.84/138,311.78 = 42,364.76/x
  3. Step 3: Cross multiply
    92,279.84x = 138,311.78 × 42,364.76
  4. Step 4: Simplify right side
    92,279.84x = 5,859,544,461.49
  5. Step 5: Solve for x
    x = 5,859,544,461.49/92,279.84
  6. Step 6: Final answer
    x = 63,497.56

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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.