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Finding the Fourth Proportional to 55,253.46, 82,880.16 and 13,700.46

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Solution

The fourth proportional to 55,253.46, 82,880.16 and 13,700.46 is: 20,550.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,253.46 : 82,880.16 = 13,700.46 : x
  2. Step 2: Convert to fraction form
    55,253.46/82,880.16 = 13,700.46/x
  3. Step 3: Cross multiply
    55,253.46x = 82,880.16 × 13,700.46
  4. Step 4: Simplify right side
    55,253.46x = 1,135,496,316.87
  5. Step 5: Solve for x
    x = 1,135,496,316.87/55,253.46
  6. Step 6: Final answer
    x = 20,550.68

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1.5x scale

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.