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Finding the Fourth Proportional to 36,421.65, 50,256 and 23,000.13

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Solution

The fourth proportional to 36,421.65, 50,256 and 23,000.13 is: 31,736.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,421.65 : 50,256 = 23,000.13 : x
  2. Step 2: Convert to fraction form
    36,421.65/50,256 = 23,000.13/x
  3. Step 3: Cross multiply
    36,421.65x = 50,256 × 23,000.13
  4. Step 4: Simplify right side
    36,421.65x = 1,155,894,533.28
  5. Step 5: Solve for x
    x = 1,155,894,533.28/36,421.65
  6. Step 6: Final answer
    x = 31,736.47

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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.