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Finding the Fourth Proportional to 55,770.75, 83,657.20 and 13,651.19

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Solution

The fourth proportional to 55,770.75, 83,657.20 and 13,651.19 is: 20,477.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,770.75 : 83,657.20 = 13,651.19 : x
  2. Step 2: Convert to fraction form
    55,770.75/83,657.20 = 13,651.19/x
  3. Step 3: Cross multiply
    55,770.75x = 83,657.20 × 13,651.19
  4. Step 4: Simplify right side
    55,770.75x = 1,142,020,507.08
  5. Step 5: Solve for x
    x = 1,142,020,507.08/55,770.75
  6. Step 6: Final answer
    x = 20,477.05

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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.