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Finding the Fourth Proportional to 49,951.52, 74,964.18 and 23,656.24

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Solution

The fourth proportional to 49,951.52, 74,964.18 and 23,656.24 is: 35,501.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,951.52 : 74,964.18 = 23,656.24 : x
  2. Step 2: Convert to fraction form
    49,951.52/74,964.18 = 23,656.24/x
  3. Step 3: Cross multiply
    49,951.52x = 74,964.18 × 23,656.24
  4. Step 4: Simplify right side
    49,951.52x = 1,773,370,633.48
  5. Step 5: Solve for x
    x = 1,773,370,633.48/49,951.52
  6. Step 6: Final answer
    x = 35,501.84

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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.