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Finding the Fourth Proportional to 75,959.88, 113,840.73 and 54,970.62

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Solution

The fourth proportional to 75,959.88, 113,840.73 and 54,970.62 is: 82,384.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,959.88 : 113,840.73 = 54,970.62 : x
  2. Step 2: Convert to fraction form
    75,959.88/113,840.73 = 54,970.62/x
  3. Step 3: Cross multiply
    75,959.88x = 113,840.73 × 54,970.62
  4. Step 4: Simplify right side
    75,959.88x = 6,257,895,509.35
  5. Step 5: Solve for x
    x = 6,257,895,509.35/75,959.88
  6. Step 6: Final answer
    x = 82,384.22

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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.