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Finding the Fourth Proportional to 38,391.84, 52,983.40 and 23,285.14

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Solution

The fourth proportional to 38,391.84, 52,983.40 and 23,285.14 is: 32,135.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,391.84 : 52,983.40 = 23,285.14 : x
  2. Step 2: Convert to fraction form
    38,391.84/52,983.40 = 23,285.14/x
  3. Step 3: Cross multiply
    38,391.84x = 52,983.40 × 23,285.14
  4. Step 4: Simplify right side
    38,391.84x = 1,233,725,886.68
  5. Step 5: Solve for x
    x = 1,233,725,886.68/38,391.84
  6. Step 6: Final answer
    x = 32,135.11

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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.