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Finding the Fourth Proportional to 56,019, 83,998.80 and 16,570.68

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Solution

The fourth proportional to 56,019, 83,998.80 and 16,570.68 is: 24,847.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,019 : 83,998.80 = 16,570.68 : x
  2. Step 2: Convert to fraction form
    56,019/83,998.80 = 16,570.68/x
  3. Step 3: Cross multiply
    56,019x = 83,998.80 × 16,570.68
  4. Step 4: Simplify right side
    56,019x = 1,391,917,235.18
  5. Step 5: Solve for x
    x = 1,391,917,235.18/56,019
  6. Step 6: Final answer
    x = 24,847.23

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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.