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Finding the Fourth Proportional to 67,057.67, 100,598.05 and 22,684.66

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Solution

The fourth proportional to 67,057.67, 100,598.05 and 22,684.66 is: 34,030.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,057.67 : 100,598.05 = 22,684.66 : x
  2. Step 2: Convert to fraction form
    67,057.67/100,598.05 = 22,684.66/x
  3. Step 3: Cross multiply
    67,057.67x = 100,598.05 × 22,684.66
  4. Step 4: Simplify right side
    67,057.67x = 2,282,032,337.77
  5. Step 5: Solve for x
    x = 2,282,032,337.77/67,057.67
  6. Step 6: Final answer
    x = 34,030.89

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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.