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Finding the Fourth Proportional to 83,367.54, 115,047.21 and 45,641.79

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Solution

The fourth proportional to 83,367.54, 115,047.21 and 45,641.79 is: 62,985.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,367.54 : 115,047.21 = 45,641.79 : x
  2. Step 2: Convert to fraction form
    83,367.54/115,047.21 = 45,641.79/x
  3. Step 3: Cross multiply
    83,367.54x = 115,047.21 × 45,641.79
  4. Step 4: Simplify right side
    83,367.54x = 5,250,960,886.52
  5. Step 5: Solve for x
    x = 5,250,960,886.52/83,367.54
  6. Step 6: Final answer
    x = 62,985.67

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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.