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Finding the Fourth Proportional to 65,522.82, 98,148.16 and 41,712.62

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Solution

The fourth proportional to 65,522.82, 98,148.16 and 41,712.62 is: 62,482.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,522.82 : 98,148.16 = 41,712.62 : x
  2. Step 2: Convert to fraction form
    65,522.82/98,148.16 = 41,712.62/x
  3. Step 3: Cross multiply
    65,522.82x = 98,148.16 × 41,712.62
  4. Step 4: Simplify right side
    65,522.82x = 4,094,016,780.63
  5. Step 5: Solve for x
    x = 4,094,016,780.63/65,522.82
  6. Step 6: Final answer
    x = 62,482.30

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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.