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Finding the Fourth Proportional to 70,478.78, 105,713.30 and 33,047.16

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Solution

The fourth proportional to 70,478.78, 105,713.30 and 33,047.16 is: 49,568.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,478.78 : 105,713.30 = 33,047.16 : x
  2. Step 2: Convert to fraction form
    70,478.78/105,713.30 = 33,047.16/x
  3. Step 3: Cross multiply
    70,478.78x = 105,713.30 × 33,047.16
  4. Step 4: Simplify right side
    70,478.78x = 3,493,524,025.42
  5. Step 5: Solve for x
    x = 3,493,524,025.42/70,478.78
  6. Step 6: Final answer
    x = 49,568.46

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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.