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Finding the Fourth Proportional to 52,882.14, 72,980.70 and 34,945.68

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Solution

The fourth proportional to 52,882.14, 72,980.70 and 34,945.68 is: 48,227.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,882.14 : 72,980.70 = 34,945.68 : x
  2. Step 2: Convert to fraction form
    52,882.14/72,980.70 = 34,945.68/x
  3. Step 3: Cross multiply
    52,882.14x = 72,980.70 × 34,945.68
  4. Step 4: Simplify right side
    52,882.14x = 2,550,360,188.38
  5. Step 5: Solve for x
    x = 2,550,360,188.38/52,882.14
  6. Step 6: Final answer
    x = 48,227.25

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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.