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Finding the Fourth Proportional to 38,009.84, 57,023.16 and 13,049.32

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Solution

The fourth proportional to 38,009.84, 57,023.16 and 13,049.32 is: 19,576.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,009.84 : 57,023.16 = 13,049.32 : x
  2. Step 2: Convert to fraction form
    38,009.84/57,023.16 = 13,049.32/x
  3. Step 3: Cross multiply
    38,009.84x = 57,023.16 × 13,049.32
  4. Step 4: Simplify right side
    38,009.84x = 744,113,462.25
  5. Step 5: Solve for x
    x = 744,113,462.25/38,009.84
  6. Step 6: Final answer
    x = 19,576.86

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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.