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Finding the Fourth Proportional to 83,810.50, 125,731.21 and 27,654.49

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Solution

The fourth proportional to 83,810.50, 125,731.21 and 27,654.49 is: 41,486.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,810.50 : 125,731.21 = 27,654.49 : x
  2. Step 2: Convert to fraction form
    83,810.50/125,731.21 = 27,654.49/x
  3. Step 3: Cross multiply
    83,810.50x = 125,731.21 × 27,654.49
  4. Step 4: Simplify right side
    83,810.50x = 3,477,032,489.63
  5. Step 5: Solve for x
    x = 3,477,032,489.63/83,810.50
  6. Step 6: Final answer
    x = 41,486.84

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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.