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Finding the Fourth Proportional to 36,197.52, 49,925.88 and 22,758

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Solution

The fourth proportional to 36,197.52, 49,925.88 and 22,758 is: 31,389.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,197.52 : 49,925.88 = 22,758 : x
  2. Step 2: Convert to fraction form
    36,197.52/49,925.88 = 22,758/x
  3. Step 3: Cross multiply
    36,197.52x = 49,925.88 × 22,758
  4. Step 4: Simplify right side
    36,197.52x = 1,136,213,177.04
  5. Step 5: Solve for x
    x = 1,136,213,177.04/36,197.52
  6. Step 6: Final answer
    x = 31,389.25

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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.