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Finding the Fourth Proportional to 57,962.16, 86,832.88 and 33,019.40

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Solution

The fourth proportional to 57,962.16, 86,832.88 and 33,019.40 is: 49,466.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,962.16 : 86,832.88 = 33,019.40 : x
  2. Step 2: Convert to fraction form
    57,962.16/86,832.88 = 33,019.40/x
  3. Step 3: Cross multiply
    57,962.16x = 86,832.88 × 33,019.40
  4. Step 4: Simplify right side
    57,962.16x = 2,867,169,597.87
  5. Step 5: Solve for x
    x = 2,867,169,597.87/57,962.16
  6. Step 6: Final answer
    x = 49,466.23

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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.