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Finding the Fourth Proportional to 65,200.84, 89,963.32 and 38,333.54

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Solution

The fourth proportional to 65,200.84, 89,963.32 and 38,333.54 is: 52,892.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,200.84 : 89,963.32 = 38,333.54 : x
  2. Step 2: Convert to fraction form
    65,200.84/89,963.32 = 38,333.54/x
  3. Step 3: Cross multiply
    65,200.84x = 89,963.32 × 38,333.54
  4. Step 4: Simplify right side
    65,200.84x = 3,448,612,525.75
  5. Step 5: Solve for x
    x = 3,448,612,525.75/65,200.84
  6. Step 6: Final answer
    x = 52,892.15

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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.