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Finding the Fourth Proportional to 20,028.51, 30,038.10 and 7,549.78

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Solution

The fourth proportional to 20,028.51, 30,038.10 and 7,549.78 is: 11,322.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,028.51 : 30,038.10 = 7,549.78 : x
  2. Step 2: Convert to fraction form
    20,028.51/30,038.10 = 7,549.78/x
  3. Step 3: Cross multiply
    20,028.51x = 30,038.10 × 7,549.78
  4. Step 4: Simplify right side
    20,028.51x = 226,781,046.62
  5. Step 5: Solve for x
    x = 226,781,046.62/20,028.51
  6. Step 6: Final answer
    x = 11,322.91

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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.