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Finding the Fourth Proportional to 38,633.84, 53,314.92 and 22,718.96

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Solution

The fourth proportional to 38,633.84, 53,314.92 and 22,718.96 is: 31,352.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,633.84 : 53,314.92 = 22,718.96 : x
  2. Step 2: Convert to fraction form
    38,633.84/53,314.92 = 22,718.96/x
  3. Step 3: Cross multiply
    38,633.84x = 53,314.92 × 22,718.96
  4. Step 4: Simplify right side
    38,633.84x = 1,211,259,534.88
  5. Step 5: Solve for x
    x = 1,211,259,534.88/38,633.84
  6. Step 6: Final answer
    x = 31,352.29

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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.