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Finding the Fourth Proportional to 38,700.50, 53,411.73 and 22,786.42

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Solution

The fourth proportional to 38,700.50, 53,411.73 and 22,786.42 is: 31,448.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,700.50 : 53,411.73 = 22,786.42 : x
  2. Step 2: Convert to fraction form
    38,700.50/53,411.73 = 22,786.42/x
  3. Step 3: Cross multiply
    38,700.50x = 53,411.73 × 22,786.42
  4. Step 4: Simplify right side
    38,700.50x = 1,217,062,112.71
  5. Step 5: Solve for x
    x = 1,217,062,112.71/38,700.50
  6. Step 6: Final answer
    x = 31,448.23

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