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Finding the Fourth Proportional to 83,570.52, 115,325.34 and 45,844.44

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Solution

The fourth proportional to 83,570.52, 115,325.34 and 45,844.44 is: 63,264.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,570.52 : 115,325.34 = 45,844.44 : x
  2. Step 2: Convert to fraction form
    83,570.52/115,325.34 = 45,844.44/x
  3. Step 3: Cross multiply
    83,570.52x = 115,325.34 × 45,844.44
  4. Step 4: Simplify right side
    83,570.52x = 5,287,025,630.11
  5. Step 5: Solve for x
    x = 5,287,025,630.11/83,570.52
  6. Step 6: Final answer
    x = 63,264.24

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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.