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Finding the Fourth Proportional to 38,765.70, 53,502.49 and 23,667.13

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Solution

The fourth proportional to 38,765.70, 53,502.49 and 23,667.13 is: 32,664.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,765.70 : 53,502.49 = 23,667.13 : x
  2. Step 2: Convert to fraction form
    38,765.70/53,502.49 = 23,667.13/x
  3. Step 3: Cross multiply
    38,765.70x = 53,502.49 × 23,667.13
  4. Step 4: Simplify right side
    38,765.70x = 1,266,250,386.15
  5. Step 5: Solve for x
    x = 1,266,250,386.15/38,765.70
  6. Step 6: Final answer
    x = 32,664.20

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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.