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Finding the Fourth Proportional to 36,725.32, 50,681.46 and 22,573

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Solution

The fourth proportional to 36,725.32, 50,681.46 and 22,573 is: 31,151.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,725.32 : 50,681.46 = 22,573 : x
  2. Step 2: Convert to fraction form
    36,725.32/50,681.46 = 22,573/x
  3. Step 3: Cross multiply
    36,725.32x = 50,681.46 × 22,573
  4. Step 4: Simplify right side
    36,725.32x = 1,144,032,596.58
  5. Step 5: Solve for x
    x = 1,144,032,596.58/36,725.32
  6. Step 6: Final answer
    x = 31,151.06

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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.