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Finding the Fourth Proportional to 67,258, 100,949.16 and 34,001.32

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Solution

The fourth proportional to 67,258, 100,949.16 and 34,001.32 is: 51,033.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,258 : 100,949.16 = 34,001.32 : x
  2. Step 2: Convert to fraction form
    67,258/100,949.16 = 34,001.32/x
  3. Step 3: Cross multiply
    67,258x = 100,949.16 × 34,001.32
  4. Step 4: Simplify right side
    67,258x = 3,432,404,692.89
  5. Step 5: Solve for x
    x = 3,432,404,692.89/67,258
  6. Step 6: Final answer
    x = 51,033.40

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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.