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Finding the Fourth Proportional to 92,586.42, 138,879 and 26,026.14

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Solution

The fourth proportional to 92,586.42, 138,879 and 26,026.14 is: 39,039.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,586.42 : 138,879 = 26,026.14 : x
  2. Step 2: Convert to fraction form
    92,586.42/138,879 = 26,026.14/x
  3. Step 3: Cross multiply
    92,586.42x = 138,879 × 26,026.14
  4. Step 4: Simplify right side
    92,586.42x = 3,614,484,297.06
  5. Step 5: Solve for x
    x = 3,614,484,297.06/92,586.42
  6. Step 6: Final answer
    x = 39,039.03

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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.