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Finding the Fourth Proportional to 51,969.96, 71,719.08 and 28,097.10

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Solution

The fourth proportional to 51,969.96, 71,719.08 and 28,097.10 is: 38,774.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,969.96 : 71,719.08 = 28,097.10 : x
  2. Step 2: Convert to fraction form
    51,969.96/71,719.08 = 28,097.10/x
  3. Step 3: Cross multiply
    51,969.96x = 71,719.08 × 28,097.10
  4. Step 4: Simplify right side
    51,969.96x = 2,015,098,162.67
  5. Step 5: Solve for x
    x = 2,015,098,162.67/51,969.96
  6. Step 6: Final answer
    x = 38,774.29

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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.