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Finding the Fourth Proportional to 83,541.44, 115,288.80 and 45,813.44

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Solution

The fourth proportional to 83,541.44, 115,288.80 and 45,813.44 is: 63,223.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,541.44 : 115,288.80 = 45,813.44 : x
  2. Step 2: Convert to fraction form
    83,541.44/115,288.80 = 45,813.44/x
  3. Step 3: Cross multiply
    83,541.44x = 115,288.80 × 45,813.44
  4. Step 4: Simplify right side
    83,541.44x = 5,281,776,521.47
  5. Step 5: Solve for x
    x = 5,281,776,521.47/83,541.44
  6. Step 6: Final answer
    x = 63,223.43

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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.