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Finding the Fourth Proportional to 70,976, 106,482 and 26,602.88

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Solution

The fourth proportional to 70,976, 106,482 and 26,602.88 is: 39,911.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,976 : 106,482 = 26,602.88 : x
  2. Step 2: Convert to fraction form
    70,976/106,482 = 26,602.88/x
  3. Step 3: Cross multiply
    70,976x = 106,482 × 26,602.88
  4. Step 4: Simplify right side
    70,976x = 2,832,727,868.16
  5. Step 5: Solve for x
    x = 2,832,727,868.16/70,976
  6. Step 6: Final answer
    x = 39,911.07

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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.