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Finding the Fourth Proportional to 101,746.96, 152,627.28 and 35,193.52

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Solution

The fourth proportional to 101,746.96, 152,627.28 and 35,193.52 is: 52,792.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,746.96 : 152,627.28 = 35,193.52 : x
  2. Step 2: Convert to fraction form
    101,746.96/152,627.28 = 35,193.52/x
  3. Step 3: Cross multiply
    101,746.96x = 152,627.28 × 35,193.52
  4. Step 4: Simplify right side
    101,746.96x = 5,371,491,231.23
  5. Step 5: Solve for x
    x = 5,371,491,231.23/101,746.96
  6. Step 6: Final answer
    x = 52,792.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.