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Finding the Fourth Proportional to 110,415.58, 165,661.17 and 47,209.66

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Solution

The fourth proportional to 110,415.58, 165,661.17 and 47,209.66 is: 70,830.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,415.58 : 165,661.17 = 47,209.66 : x
  2. Step 2: Convert to fraction form
    110,415.58/165,661.17 = 47,209.66/x
  3. Step 3: Cross multiply
    110,415.58x = 165,661.17 × 47,209.66
  4. Step 4: Simplify right side
    110,415.58x = 7,820,807,510.90
  5. Step 5: Solve for x
    x = 7,820,807,510.90/110,415.58
  6. Step 6: Final answer
    x = 70,830.65

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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.