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Finding the Fourth Proportional to 70,754.40, 105,989.13 and 32,750.10

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Solution

The fourth proportional to 70,754.40, 105,989.13 and 32,750.10 is: 49,059.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,754.40 : 105,989.13 = 32,750.10 : x
  2. Step 2: Convert to fraction form
    70,754.40/105,989.13 = 32,750.10/x
  3. Step 3: Cross multiply
    70,754.40x = 105,989.13 × 32,750.10
  4. Step 4: Simplify right side
    70,754.40x = 3,471,154,606.41
  5. Step 5: Solve for x
    x = 3,471,154,606.41/70,754.40
  6. Step 6: Final answer
    x = 49,059.20

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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.