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Finding the Fourth Proportional to 51,971.42, 71,720.52 and 28,098.11

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Solution

The fourth proportional to 51,971.42, 71,720.52 and 28,098.11 is: 38,775.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,971.42 : 71,720.52 = 28,098.11 : x
  2. Step 2: Convert to fraction form
    51,971.42/71,720.52 = 28,098.11/x
  3. Step 3: Cross multiply
    51,971.42x = 71,720.52 × 28,098.11
  4. Step 4: Simplify right side
    51,971.42x = 2,015,210,701.61
  5. Step 5: Solve for x
    x = 2,015,210,701.61/51,971.42
  6. Step 6: Final answer
    x = 38,775.37

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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.