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Finding the Fourth Proportional to 65,584.46, 90,498.51 and 41,376.29

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Solution

The fourth proportional to 65,584.46, 90,498.51 and 41,376.29 is: 57,094.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,584.46 : 90,498.51 = 41,376.29 : x
  2. Step 2: Convert to fraction form
    65,584.46/90,498.51 = 41,376.29/x
  3. Step 3: Cross multiply
    65,584.46x = 90,498.51 × 41,376.29
  4. Step 4: Simplify right side
    65,584.46x = 3,744,492,594.33
  5. Step 5: Solve for x
    x = 3,744,492,594.33/65,584.46
  6. Step 6: Final answer
    x = 57,094.20

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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.