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Finding the Fourth Proportional to 110,498.58, 165,749.49 and 31,612.95

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Solution

The fourth proportional to 110,498.58, 165,749.49 and 31,612.95 is: 47,419.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,498.58 : 165,749.49 = 31,612.95 : x
  2. Step 2: Convert to fraction form
    110,498.58/165,749.49 = 31,612.95/x
  3. Step 3: Cross multiply
    110,498.58x = 165,749.49 × 31,612.95
  4. Step 4: Simplify right side
    110,498.58x = 5,239,830,339.90
  5. Step 5: Solve for x
    x = 5,239,830,339.90/110,498.58
  6. Step 6: Final answer
    x = 47,419.89

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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.