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Finding the Fourth Proportional to 64,388.71, 96,607.37 and 26,974

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Solution

The fourth proportional to 64,388.71, 96,607.37 and 26,974 is: 40,471.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,388.71 : 96,607.37 = 26,974 : x
  2. Step 2: Convert to fraction form
    64,388.71/96,607.37 = 26,974/x
  3. Step 3: Cross multiply
    64,388.71x = 96,607.37 × 26,974
  4. Step 4: Simplify right side
    64,388.71x = 2,605,887,198.38
  5. Step 5: Solve for x
    x = 2,605,887,198.38/64,388.71
  6. Step 6: Final answer
    x = 40,471.18

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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.