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Finding the Fourth Proportional to 38,137.80, 57,206.70 and 10,057.80

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Solution

The fourth proportional to 38,137.80, 57,206.70 and 10,057.80 is: 15,086.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,137.80 : 57,206.70 = 10,057.80 : x
  2. Step 2: Convert to fraction form
    38,137.80/57,206.70 = 10,057.80/x
  3. Step 3: Cross multiply
    38,137.80x = 57,206.70 × 10,057.80
  4. Step 4: Simplify right side
    38,137.80x = 575,373,547.26
  5. Step 5: Solve for x
    x = 575,373,547.26/38,137.80
  6. Step 6: Final answer
    x = 15,086.70

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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.