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Finding the Fourth Proportional to 92,486.76, 138,778.74 and 50,397

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Solution

The fourth proportional to 92,486.76, 138,778.74 and 50,397 is: 75,621.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,486.76 : 138,778.74 = 50,397 : x
  2. Step 2: Convert to fraction form
    92,486.76/138,778.74 = 50,397/x
  3. Step 3: Cross multiply
    92,486.76x = 138,778.74 × 50,397
  4. Step 4: Simplify right side
    92,486.76x = 6,994,032,159.78
  5. Step 5: Solve for x
    x = 6,994,032,159.78/92,486.76
  6. Step 6: Final answer
    x = 75,621.98

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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.