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Finding the Fourth Proportional to 38,773.40, 53,513.16 and 23,674.88

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Solution

The fourth proportional to 38,773.40, 53,513.16 and 23,674.88 is: 32,674.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,773.40 : 53,513.16 = 23,674.88 : x
  2. Step 2: Convert to fraction form
    38,773.40/53,513.16 = 23,674.88/x
  3. Step 3: Cross multiply
    38,773.40x = 53,513.16 × 23,674.88
  4. Step 4: Simplify right side
    38,773.40x = 1,266,917,641.42
  5. Step 5: Solve for x
    x = 1,266,917,641.42/38,773.40
  6. Step 6: Final answer
    x = 32,674.92

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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.