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Finding the Fourth Proportional to 65,133.64, 89,855.89 and 38,264.03

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Solution

The fourth proportional to 65,133.64, 89,855.89 and 38,264.03 is: 52,787.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,133.64 : 89,855.89 = 38,264.03 : x
  2. Step 2: Convert to fraction form
    65,133.64/89,855.89 = 38,264.03/x
  3. Step 3: Cross multiply
    65,133.64x = 89,855.89 × 38,264.03
  4. Step 4: Simplify right side
    65,133.64x = 3,438,247,830.04
  5. Step 5: Solve for x
    x = 3,438,247,830.04/65,133.64
  6. Step 6: Final answer
    x = 52,787.59

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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.