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Finding the Fourth Proportional to 57,640.16, 86,461.84 and 16,087.12

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Solution

The fourth proportional to 57,640.16, 86,461.84 and 16,087.12 is: 24,131.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,640.16 : 86,461.84 = 16,087.12 : x
  2. Step 2: Convert to fraction form
    57,640.16/86,461.84 = 16,087.12/x
  3. Step 3: Cross multiply
    57,640.16x = 86,461.84 × 16,087.12
  4. Step 4: Simplify right side
    57,640.16x = 1,390,921,995.50
  5. Step 5: Solve for x
    x = 1,390,921,995.50/57,640.16
  6. Step 6: Final answer
    x = 24,131.13

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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.