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Finding the Fourth Proportional to 111,661.64, 167,398.28 and 48,434.14

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Solution

The fourth proportional to 111,661.64, 167,398.28 and 48,434.14 is: 72,610.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,661.64 : 167,398.28 = 48,434.14 : x
  2. Step 2: Convert to fraction form
    111,661.64/167,398.28 = 48,434.14/x
  3. Step 3: Cross multiply
    111,661.64x = 167,398.28 × 48,434.14
  4. Step 4: Simplify right side
    111,661.64x = 8,107,791,729.28
  5. Step 5: Solve for x
    x = 8,107,791,729.28/111,661.64
  6. Step 6: Final answer
    x = 72,610.36

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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.