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Finding the Fourth Proportional to 81,465.70, 122,162.10 and 37,069.60

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Solution

The fourth proportional to 81,465.70, 122,162.10 and 37,069.60 is: 55,587.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,465.70 : 122,162.10 = 37,069.60 : x
  2. Step 2: Convert to fraction form
    81,465.70/122,162.10 = 37,069.60/x
  3. Step 3: Cross multiply
    81,465.70x = 122,162.10 × 37,069.60
  4. Step 4: Simplify right side
    81,465.70x = 4,528,500,182.16
  5. Step 5: Solve for x
    x = 4,528,500,182.16/81,465.70
  6. Step 6: Final answer
    x = 55,587.81

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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.