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Finding the Fourth Proportional to 70,378.56, 105,568.74 and 22,993.28

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Solution

The fourth proportional to 70,378.56, 105,568.74 and 22,993.28 is: 34,490.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,378.56 : 105,568.74 = 22,993.28 : x
  2. Step 2: Convert to fraction form
    70,378.56/105,568.74 = 22,993.28/x
  3. Step 3: Cross multiply
    70,378.56x = 105,568.74 × 22,993.28
  4. Step 4: Simplify right side
    70,378.56x = 2,427,371,598.07
  5. Step 5: Solve for x
    x = 2,427,371,598.07/70,378.56
  6. Step 6: Final answer
    x = 34,490.21

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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.