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Finding the Fourth Proportional to 111,463.59, 167,205.11 and 31,502.40

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Solution

The fourth proportional to 111,463.59, 167,205.11 and 31,502.40 is: 47,256.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,463.59 : 167,205.11 = 31,502.40 : x
  2. Step 2: Convert to fraction form
    111,463.59/167,205.11 = 31,502.40/x
  3. Step 3: Cross multiply
    111,463.59x = 167,205.11 × 31,502.40
  4. Step 4: Simplify right side
    111,463.59x = 5,267,362,099.75
  5. Step 5: Solve for x
    x = 5,267,362,099.75/111,463.59
  6. Step 6: Final answer
    x = 47,256.35

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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.