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Finding the Fourth Proportional to 65,322.78, 97,972.62 and 29,776.14

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Solution

The fourth proportional to 65,322.78, 97,972.62 and 29,776.14 is: 44,658.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,322.78 : 97,972.62 = 29,776.14 : x
  2. Step 2: Convert to fraction form
    65,322.78/97,972.62 = 29,776.14/x
  3. Step 3: Cross multiply
    65,322.78x = 97,972.62 × 29,776.14
  4. Step 4: Simplify right side
    65,322.78x = 2,917,246,449.29
  5. Step 5: Solve for x
    x = 2,917,246,449.29/65,322.78
  6. Step 6: Final answer
    x = 44,658.95

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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.