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Finding the Fourth Proportional to 123,533.78, 185,300.66 and 48,613.23

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Solution

The fourth proportional to 123,533.78, 185,300.66 and 48,613.23 is: 72,919.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,533.78 : 185,300.66 = 48,613.23 : x
  2. Step 2: Convert to fraction form
    123,533.78/185,300.66 = 48,613.23/x
  3. Step 3: Cross multiply
    123,533.78x = 185,300.66 × 48,613.23
  4. Step 4: Simplify right side
    123,533.78x = 9,008,063,725.26
  5. Step 5: Solve for x
    x = 9,008,063,725.26/123,533.78
  6. Step 6: Final answer
    x = 72,919.85

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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.