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Finding the Fourth Proportional to 52,735.17, 72,774.65 and 28,863.38

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Solution

The fourth proportional to 52,735.17, 72,774.65 and 28,863.38 is: 39,831.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,735.17 : 72,774.65 = 28,863.38 : x
  2. Step 2: Convert to fraction form
    52,735.17/72,774.65 = 28,863.38/x
  3. Step 3: Cross multiply
    52,735.17x = 72,774.65 × 28,863.38
  4. Step 4: Simplify right side
    52,735.17x = 2,100,522,377.32
  5. Step 5: Solve for x
    x = 2,100,522,377.32/52,735.17
  6. Step 6: Final answer
    x = 39,831.53

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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.