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Finding the Fourth Proportional to 38,765.64, 53,502.37 and 23,667.06

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Solution

The fourth proportional to 38,765.64, 53,502.37 and 23,667.06 is: 32,664.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,765.64 : 53,502.37 = 23,667.06 : x
  2. Step 2: Convert to fraction form
    38,765.64/53,502.37 = 23,667.06/x
  3. Step 3: Cross multiply
    38,765.64x = 53,502.37 × 23,667.06
  4. Step 4: Simplify right side
    38,765.64x = 1,266,243,800.93
  5. Step 5: Solve for x
    x = 1,266,243,800.93/38,765.64
  6. Step 6: Final answer
    x = 32,664.08

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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.