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Finding the Fourth Proportional to 39,303.24, 54,232.38 and 22,533

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Solution

The fourth proportional to 39,303.24, 54,232.38 and 22,533 is: 31,092.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,303.24 : 54,232.38 = 22,533 : x
  2. Step 2: Convert to fraction form
    39,303.24/54,232.38 = 22,533/x
  3. Step 3: Cross multiply
    39,303.24x = 54,232.38 × 22,533
  4. Step 4: Simplify right side
    39,303.24x = 1,222,018,218.54
  5. Step 5: Solve for x
    x = 1,222,018,218.54/39,303.24
  6. Step 6: Final answer
    x = 31,092.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.