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Finding the Fourth Proportional to 55,713.87, 83,592.68 and 24,527.25

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Solution

The fourth proportional to 55,713.87, 83,592.68 and 24,527.25 is: 36,800.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,713.87 : 83,592.68 = 24,527.25 : x
  2. Step 2: Convert to fraction form
    55,713.87/83,592.68 = 24,527.25/x
  3. Step 3: Cross multiply
    55,713.87x = 83,592.68 × 24,527.25
  4. Step 4: Simplify right side
    55,713.87x = 2,050,298,437.89
  5. Step 5: Solve for x
    x = 2,050,298,437.89/55,713.87
  6. Step 6: Final answer
    x = 36,800.50

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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.