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Finding the Fourth Proportional to 51,971.62, 71,720.83 and 28,098.29

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Solution

The fourth proportional to 51,971.62, 71,720.83 and 28,098.29 is: 38,775.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,971.62 : 71,720.83 = 28,098.29 : x
  2. Step 2: Convert to fraction form
    51,971.62/71,720.83 = 28,098.29/x
  3. Step 3: Cross multiply
    51,971.62x = 71,720.83 × 28,098.29
  4. Step 4: Simplify right side
    51,971.62x = 2,015,232,680.38
  5. Step 5: Solve for x
    x = 2,015,232,680.38/51,971.62
  6. Step 6: Final answer
    x = 38,775.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.