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Finding the Fourth Proportional to 92,684.64, 138,923.28 and 40,015.20

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Solution

The fourth proportional to 92,684.64, 138,923.28 and 40,015.20 is: 59,978.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,684.64 : 138,923.28 = 40,015.20 : x
  2. Step 2: Convert to fraction form
    92,684.64/138,923.28 = 40,015.20/x
  3. Step 3: Cross multiply
    92,684.64x = 138,923.28 × 40,015.20
  4. Step 4: Simplify right side
    92,684.64x = 5,559,042,833.86
  5. Step 5: Solve for x
    x = 5,559,042,833.86/92,684.64
  6. Step 6: Final answer
    x = 59,978.04

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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.