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Finding the Fourth Proportional to 55,207.70, 82,811.55 and 13,654.70

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Solution

The fourth proportional to 55,207.70, 82,811.55 and 13,654.70 is: 20,482.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,207.70 : 82,811.55 = 13,654.70 : x
  2. Step 2: Convert to fraction form
    55,207.70/82,811.55 = 13,654.70/x
  3. Step 3: Cross multiply
    55,207.70x = 82,811.55 × 13,654.70
  4. Step 4: Simplify right side
    55,207.70x = 1,130,766,871.79
  5. Step 5: Solve for x
    x = 1,130,766,871.79/55,207.70
  6. Step 6: Final answer
    x = 20,482.05

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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.