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Finding the Fourth Proportional to 38,200.48, 57,303.48 and 15,991.48

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Solution

The fourth proportional to 38,200.48, 57,303.48 and 15,991.48 is: 23,988.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,200.48 : 57,303.48 = 15,991.48 : x
  2. Step 2: Convert to fraction form
    38,200.48/57,303.48 = 15,991.48/x
  3. Step 3: Cross multiply
    38,200.48x = 57,303.48 × 15,991.48
  4. Step 4: Simplify right side
    38,200.48x = 916,367,454.35
  5. Step 5: Solve for x
    x = 916,367,454.35/38,200.48
  6. Step 6: Final answer
    x = 23,988.38

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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.