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Finding the Fourth Proportional to 92,064.54, 138,096.95 and 28,023.24

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Solution

The fourth proportional to 92,064.54, 138,096.95 and 28,023.24 is: 42,034.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,064.54 : 138,096.95 = 28,023.24 : x
  2. Step 2: Convert to fraction form
    92,064.54/138,096.95 = 28,023.24/x
  3. Step 3: Cross multiply
    92,064.54x = 138,096.95 × 28,023.24
  4. Step 4: Simplify right side
    92,064.54x = 3,869,923,833.00
  5. Step 5: Solve for x
    x = 3,869,923,833.00/92,064.54
  6. Step 6: Final answer
    x = 42,034.90

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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.