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Finding the Fourth Proportional to 55,998.60, 83,978.34 and 16,545.24

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Solution

The fourth proportional to 55,998.60, 83,978.34 and 16,545.24 is: 24,812.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,998.60 : 83,978.34 = 16,545.24 : x
  2. Step 2: Convert to fraction form
    55,998.60/83,978.34 = 16,545.24/x
  3. Step 3: Cross multiply
    55,998.60x = 83,978.34 × 16,545.24
  4. Step 4: Simplify right side
    55,998.60x = 1,389,441,790.10
  5. Step 5: Solve for x
    x = 1,389,441,790.10/55,998.60
  6. Step 6: Final answer
    x = 24,812.08

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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.