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Finding the Fourth Proportional to 55,370.50, 83,088.96 and 20,313.70

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Solution

The fourth proportional to 55,370.50, 83,088.96 and 20,313.70 is: 30,482.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,370.50 : 83,088.96 = 20,313.70 : x
  2. Step 2: Convert to fraction form
    55,370.50/83,088.96 = 20,313.70/x
  3. Step 3: Cross multiply
    55,370.50x = 83,088.96 × 20,313.70
  4. Step 4: Simplify right side
    55,370.50x = 1,687,844,206.75
  5. Step 5: Solve for x
    x = 1,687,844,206.75/55,370.50
  6. Step 6: Final answer
    x = 30,482.73

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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.