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Finding the Fourth Proportional to 82,959.63, 114,495.44 and 52,747.95

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Solution

The fourth proportional to 82,959.63, 114,495.44 and 52,747.95 is: 72,799.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,959.63 : 114,495.44 = 52,747.95 : x
  2. Step 2: Convert to fraction form
    82,959.63/114,495.44 = 52,747.95/x
  3. Step 3: Cross multiply
    82,959.63x = 114,495.44 × 52,747.95
  4. Step 4: Simplify right side
    82,959.63x = 6,039,399,480.61
  5. Step 5: Solve for x
    x = 6,039,399,480.61/82,959.63
  6. Step 6: Final answer
    x = 72,799.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.