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Finding the Fourth Proportional to 110,240.84, 165,389 and 31,355.08

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Solution

The fourth proportional to 110,240.84, 165,389 and 31,355.08 is: 47,040.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,240.84 : 165,389 = 31,355.08 : x
  2. Step 2: Convert to fraction form
    110,240.84/165,389 = 31,355.08/x
  3. Step 3: Cross multiply
    110,240.84x = 165,389 × 31,355.08
  4. Step 4: Simplify right side
    110,240.84x = 5,185,785,326.12
  5. Step 5: Solve for x
    x = 5,185,785,326.12/110,240.84
  6. Step 6: Final answer
    x = 47,040.51

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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.