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Finding the Fourth Proportional to 70,688.82, 106,032.69 and 18,098.22

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Solution

The fourth proportional to 70,688.82, 106,032.69 and 18,098.22 is: 27,147.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,688.82 : 106,032.69 = 18,098.22 : x
  2. Step 2: Convert to fraction form
    70,688.82/106,032.69 = 18,098.22/x
  3. Step 3: Cross multiply
    70,688.82x = 106,032.69 × 18,098.22
  4. Step 4: Simplify right side
    70,688.82x = 1,919,002,950.81
  5. Step 5: Solve for x
    x = 1,919,002,950.81/70,688.82
  6. Step 6: Final answer
    x = 27,147.19

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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.