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Finding the Fourth Proportional to 70,541.28, 105,799.68 and 23,155.68

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Solution

The fourth proportional to 70,541.28, 105,799.68 and 23,155.68 is: 34,729.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,541.28 : 105,799.68 = 23,155.68 : x
  2. Step 2: Convert to fraction form
    70,541.28/105,799.68 = 23,155.68/x
  3. Step 3: Cross multiply
    70,541.28x = 105,799.68 × 23,155.68
  4. Step 4: Simplify right side
    70,541.28x = 2,449,863,534.18
  5. Step 5: Solve for x
    x = 2,449,863,534.18/70,541.28
  6. Step 6: Final answer
    x = 34,729.50

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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.