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Finding the Fourth Proportional to 110,522.86, 165,644.70 and 47,267.80

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Solution

The fourth proportional to 110,522.86, 165,644.70 and 47,267.80 is: 70,842.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,522.86 : 165,644.70 = 47,267.80 : x
  2. Step 2: Convert to fraction form
    110,522.86/165,644.70 = 47,267.80/x
  3. Step 3: Cross multiply
    110,522.86x = 165,644.70 × 47,267.80
  4. Step 4: Simplify right side
    110,522.86x = 7,829,660,550.66
  5. Step 5: Solve for x
    x = 7,829,660,550.66/110,522.86
  6. Step 6: Final answer
    x = 70,842.00

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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.