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Finding the Fourth Proportional to 83,059.33, 114,582.03 and 54,366.37

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Solution

The fourth proportional to 83,059.33, 114,582.03 and 54,366.37 is: 74,999.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,059.33 : 114,582.03 = 54,366.37 : x
  2. Step 2: Convert to fraction form
    83,059.33/114,582.03 = 54,366.37/x
  3. Step 3: Cross multiply
    83,059.33x = 114,582.03 × 54,366.37
  4. Step 4: Simplify right side
    83,059.33x = 6,229,409,038.33
  5. Step 5: Solve for x
    x = 6,229,409,038.33/83,059.33
  6. Step 6: Final answer
    x = 74,999.51

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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.