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Finding the Fourth Proportional to 92,032.20, 138,121.20 and 35,899.20

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Solution

The fourth proportional to 92,032.20, 138,121.20 and 35,899.20 is: 53,877.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,032.20 : 138,121.20 = 35,899.20 : x
  2. Step 2: Convert to fraction form
    92,032.20/138,121.20 = 35,899.20/x
  3. Step 3: Cross multiply
    92,032.20x = 138,121.20 × 35,899.20
  4. Step 4: Simplify right side
    92,032.20x = 4,958,440,583.04
  5. Step 5: Solve for x
    x = 4,958,440,583.04/92,032.20
  6. Step 6: Final answer
    x = 53,877.24

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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.