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Finding the Fourth Proportional to 38,208.68, 57,304.81 and 23,970.30

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Solution

The fourth proportional to 38,208.68, 57,304.81 and 23,970.30 is: 35,950.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,208.68 : 57,304.81 = 23,970.30 : x
  2. Step 2: Convert to fraction form
    38,208.68/57,304.81 = 23,970.30/x
  3. Step 3: Cross multiply
    38,208.68x = 57,304.81 × 23,970.30
  4. Step 4: Simplify right side
    38,208.68x = 1,373,613,302.21
  5. Step 5: Solve for x
    x = 1,373,613,302.21/38,208.68
  6. Step 6: Final answer
    x = 35,950.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.