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Finding the Fourth Proportional to 38,015.40, 57,023.10 and 15,821.40

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Solution

The fourth proportional to 38,015.40, 57,023.10 and 15,821.40 is: 23,732.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,015.40 : 57,023.10 = 15,821.40 : x
  2. Step 2: Convert to fraction form
    38,015.40/57,023.10 = 15,821.40/x
  3. Step 3: Cross multiply
    38,015.40x = 57,023.10 × 15,821.40
  4. Step 4: Simplify right side
    38,015.40x = 902,185,274.34
  5. Step 5: Solve for x
    x = 902,185,274.34/38,015.40
  6. Step 6: Final answer
    x = 23,732.10

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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.