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Finding the Fourth Proportional to 70,847.88, 106,205.02 and 35,275.62

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Solution

The fourth proportional to 70,847.88, 106,205.02 and 35,275.62 is: 52,880.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,847.88 : 106,205.02 = 35,275.62 : x
  2. Step 2: Convert to fraction form
    70,847.88/106,205.02 = 35,275.62/x
  3. Step 3: Cross multiply
    70,847.88x = 106,205.02 × 35,275.62
  4. Step 4: Simplify right side
    70,847.88x = 3,746,447,927.61
  5. Step 5: Solve for x
    x = 3,746,447,927.61/70,847.88
  6. Step 6: Final answer
    x = 52,880.17

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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.