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Finding the Fourth Proportional to 57,637.80, 86,456.70 and 16,084.80

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Solution

The fourth proportional to 57,637.80, 86,456.70 and 16,084.80 is: 24,127.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,637.80 : 86,456.70 = 16,084.80 : x
  2. Step 2: Convert to fraction form
    57,637.80/86,456.70 = 16,084.80/x
  3. Step 3: Cross multiply
    57,637.80x = 86,456.70 × 16,084.80
  4. Step 4: Simplify right side
    57,637.80x = 1,390,638,728.16
  5. Step 5: Solve for x
    x = 1,390,638,728.16/57,637.80
  6. Step 6: Final answer
    x = 24,127.20

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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.