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Finding the Fourth Proportional to 38,633.31, 53,315.28 and 22,719.24

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Solution

The fourth proportional to 38,633.31, 53,315.28 and 22,719.24 is: 31,353.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,633.31 : 53,315.28 = 22,719.24 : x
  2. Step 2: Convert to fraction form
    38,633.31/53,315.28 = 22,719.24/x
  3. Step 3: Cross multiply
    38,633.31x = 53,315.28 × 22,719.24
  4. Step 4: Simplify right side
    38,633.31x = 1,211,282,641.99
  5. Step 5: Solve for x
    x = 1,211,282,641.99/38,633.31
  6. Step 6: Final answer
    x = 31,353.32

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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.