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Finding the Fourth Proportional to 70,792.32, 106,206.88 and 26,419.41

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Solution

The fourth proportional to 70,792.32, 106,206.88 and 26,419.41 is: 39,635.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,792.32 : 106,206.88 = 26,419.41 : x
  2. Step 2: Convert to fraction form
    70,792.32/106,206.88 = 26,419.41/x
  3. Step 3: Cross multiply
    70,792.32x = 106,206.88 × 26,419.41
  4. Step 4: Simplify right side
    70,792.32x = 2,805,923,041.49
  5. Step 5: Solve for x
    x = 2,805,923,041.49/70,792.32
  6. Step 6: Final answer
    x = 39,635.98

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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.