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Finding the Fourth Proportional to 71,258, 106,816.52 and 33,752.20

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Solution

The fourth proportional to 71,258, 106,816.52 and 33,752.20 is: 50,594.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,258 : 106,816.52 = 33,752.20 : x
  2. Step 2: Convert to fraction form
    71,258/106,816.52 = 33,752.20/x
  3. Step 3: Cross multiply
    71,258x = 106,816.52 × 33,752.20
  4. Step 4: Simplify right side
    71,258x = 3,605,292,546.34
  5. Step 5: Solve for x
    x = 3,605,292,546.34/71,258
  6. Step 6: Final answer
    x = 50,594.92

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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.