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Finding the Fourth Proportional to 92,132.64, 138,228.12 and 32,967

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Solution

The fourth proportional to 92,132.64, 138,228.12 and 32,967 is: 49,460.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,132.64 : 138,228.12 = 32,967 : x
  2. Step 2: Convert to fraction form
    92,132.64/138,228.12 = 32,967/x
  3. Step 3: Cross multiply
    92,132.64x = 138,228.12 × 32,967
  4. Step 4: Simplify right side
    92,132.64x = 4,556,966,432.04
  5. Step 5: Solve for x
    x = 4,556,966,432.04/92,132.64
  6. Step 6: Final answer
    x = 49,460.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.