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Finding the Fourth Proportional to 76,951.52, 115,437.04 and 24,342

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Solution

The fourth proportional to 76,951.52, 115,437.04 and 24,342 is: 36,516.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,951.52 : 115,437.04 = 24,342 : x
  2. Step 2: Convert to fraction form
    76,951.52/115,437.04 = 24,342/x
  3. Step 3: Cross multiply
    76,951.52x = 115,437.04 × 24,342
  4. Step 4: Simplify right side
    76,951.52x = 2,809,968,427.68
  5. Step 5: Solve for x
    x = 2,809,968,427.68/76,951.52
  6. Step 6: Final answer
    x = 36,516.09

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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.