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Finding the Fourth Proportional to 38,767.64, 53,505.23 and 23,669.10

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Solution

The fourth proportional to 38,767.64, 53,505.23 and 23,669.10 is: 32,666.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,767.64 : 53,505.23 = 23,669.10 : x
  2. Step 2: Convert to fraction form
    38,767.64/53,505.23 = 23,669.10/x
  3. Step 3: Cross multiply
    38,767.64x = 53,505.23 × 23,669.10
  4. Step 4: Simplify right side
    38,767.64x = 1,266,420,521.05
  5. Step 5: Solve for x
    x = 1,266,420,521.05/38,767.64
  6. Step 6: Final answer
    x = 32,666.95

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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.