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Finding the Fourth Proportional to 83,187.38, 114,806.50 and 45,467.30

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Solution

The fourth proportional to 83,187.38, 114,806.50 and 45,467.30 is: 62,749.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,187.38 : 114,806.50 = 45,467.30 : x
  2. Step 2: Convert to fraction form
    83,187.38/114,806.50 = 45,467.30/x
  3. Step 3: Cross multiply
    83,187.38x = 114,806.50 × 45,467.30
  4. Step 4: Simplify right side
    83,187.38x = 5,219,941,577.45
  5. Step 5: Solve for x
    x = 5,219,941,577.45/83,187.38
  6. Step 6: Final answer
    x = 62,749.20

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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.