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Finding the Fourth Proportional to 38,303.84, 52,837.72 and 22,986.43

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Solution

The fourth proportional to 38,303.84, 52,837.72 and 22,986.43 is: 31,708.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,303.84 : 52,837.72 = 22,986.43 : x
  2. Step 2: Convert to fraction form
    38,303.84/52,837.72 = 22,986.43/x
  3. Step 3: Cross multiply
    38,303.84x = 52,837.72 × 22,986.43
  4. Step 4: Simplify right side
    38,303.84x = 1,214,550,173.02
  5. Step 5: Solve for x
    x = 1,214,550,173.02/38,303.84
  6. Step 6: Final answer
    x = 31,708.31

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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.