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Finding the Fourth Proportional to 111,830.40, 167,767.20 and 32,947.20

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Solution

The fourth proportional to 111,830.40, 167,767.20 and 32,947.20 is: 49,427.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,830.40 : 167,767.20 = 32,947.20 : x
  2. Step 2: Convert to fraction form
    111,830.40/167,767.20 = 32,947.20/x
  3. Step 3: Cross multiply
    111,830.40x = 167,767.20 × 32,947.20
  4. Step 4: Simplify right side
    111,830.40x = 5,527,459,491.84
  5. Step 5: Solve for x
    x = 5,527,459,491.84/111,830.40
  6. Step 6: Final answer
    x = 49,427.16

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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.