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Finding the Fourth Proportional to 38,513.80, 57,770.70 and 19,851.40

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Solution

The fourth proportional to 38,513.80, 57,770.70 and 19,851.40 is: 29,777.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,513.80 : 57,770.70 = 19,851.40 : x
  2. Step 2: Convert to fraction form
    38,513.80/57,770.70 = 19,851.40/x
  3. Step 3: Cross multiply
    38,513.80x = 57,770.70 × 19,851.40
  4. Step 4: Simplify right side
    38,513.80x = 1,146,829,273.98
  5. Step 5: Solve for x
    x = 1,146,829,273.98/38,513.80
  6. Step 6: Final answer
    x = 29,777.10

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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.