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Finding the Fourth Proportional to 35,497.62, 48,989.92 and 24,758.08

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Solution

The fourth proportional to 35,497.62, 48,989.92 and 24,758.08 is: 34,168.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,497.62 : 48,989.92 = 24,758.08 : x
  2. Step 2: Convert to fraction form
    35,497.62/48,989.92 = 24,758.08/x
  3. Step 3: Cross multiply
    35,497.62x = 48,989.92 × 24,758.08
  4. Step 4: Simplify right side
    35,497.62x = 1,212,896,358.55
  5. Step 5: Solve for x
    x = 1,212,896,358.55/35,497.62
  6. Step 6: Final answer
    x = 34,168.39

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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.