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Finding the Fourth Proportional to 110,385.91, 165,590.71 and 47,212.59

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Solution

The fourth proportional to 110,385.91, 165,590.71 and 47,212.59 is: 70,823.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,385.91 : 165,590.71 = 47,212.59 : x
  2. Step 2: Convert to fraction form
    110,385.91/165,590.71 = 47,212.59/x
  3. Step 3: Cross multiply
    110,385.91x = 165,590.71 × 47,212.59
  4. Step 4: Simplify right side
    110,385.91x = 7,817,966,299.04
  5. Step 5: Solve for x
    x = 7,817,966,299.04/110,385.91
  6. Step 6: Final answer
    x = 70,823.95

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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.