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Finding the Fourth Proportional to 106,823.60, 160,105.80 and 47,596.40

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Solution

The fourth proportional to 106,823.60, 160,105.80 and 47,596.40 is: 71,336.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,823.60 : 160,105.80 = 47,596.40 : x
  2. Step 2: Convert to fraction form
    106,823.60/160,105.80 = 47,596.40/x
  3. Step 3: Cross multiply
    106,823.60x = 160,105.80 × 47,596.40
  4. Step 4: Simplify right side
    106,823.60x = 7,620,459,699.12
  5. Step 5: Solve for x
    x = 7,620,459,699.12/106,823.60
  6. Step 6: Final answer
    x = 71,336.86

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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.