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Finding the Fourth Proportional to 57,984.64, 86,963.32 and 32,695.02

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Solution

The fourth proportional to 57,984.64, 86,963.32 and 32,695.02 is: 49,034.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,984.64 : 86,963.32 = 32,695.02 : x
  2. Step 2: Convert to fraction form
    57,984.64/86,963.32 = 32,695.02/x
  3. Step 3: Cross multiply
    57,984.64x = 86,963.32 × 32,695.02
  4. Step 4: Simplify right side
    57,984.64x = 2,843,267,486.67
  5. Step 5: Solve for x
    x = 2,843,267,486.67/57,984.64
  6. Step 6: Final answer
    x = 49,034.84

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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.