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Finding the Fourth Proportional to 110,574.24, 165,867.03 and 31,689.15

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Solution

The fourth proportional to 110,574.24, 165,867.03 and 31,689.15 is: 47,535.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,574.24 : 165,867.03 = 31,689.15 : x
  2. Step 2: Convert to fraction form
    110,574.24/165,867.03 = 31,689.15/x
  3. Step 3: Cross multiply
    110,574.24x = 165,867.03 × 31,689.15
  4. Step 4: Simplify right side
    110,574.24x = 5,256,185,193.72
  5. Step 5: Solve for x
    x = 5,256,185,193.72/110,574.24
  6. Step 6: Final answer
    x = 47,535.35

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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.