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Finding the Fourth Proportional to 76,953.52, 115,440.04 and 24,344

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Solution

The fourth proportional to 76,953.52, 115,440.04 and 24,344 is: 36,519.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,953.52 : 115,440.04 = 24,344 : x
  2. Step 2: Convert to fraction form
    76,953.52/115,440.04 = 24,344/x
  3. Step 3: Cross multiply
    76,953.52x = 115,440.04 × 24,344
  4. Step 4: Simplify right side
    76,953.52x = 2,810,272,333.76
  5. Step 5: Solve for x
    x = 2,810,272,333.76/76,953.52
  6. Step 6: Final answer
    x = 36,519.09

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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.