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Finding the Fourth Proportional to 70,122.33, 105,214.32 and 36,834.66

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Solution

The fourth proportional to 70,122.33, 105,214.32 and 36,834.66 is: 55,268.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,122.33 : 105,214.32 = 36,834.66 : x
  2. Step 2: Convert to fraction form
    70,122.33/105,214.32 = 36,834.66/x
  3. Step 3: Cross multiply
    70,122.33x = 105,214.32 × 36,834.66
  4. Step 4: Simplify right side
    70,122.33x = 3,875,533,704.33
  5. Step 5: Solve for x
    x = 3,875,533,704.33/70,122.33
  6. Step 6: Final answer
    x = 55,268.18

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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.