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Finding the Fourth Proportional to 83,290.46, 114,918.09 and 47,467.40

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Solution

The fourth proportional to 83,290.46, 114,918.09 and 47,467.40 is: 65,492.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,290.46 : 114,918.09 = 47,467.40 : x
  2. Step 2: Convert to fraction form
    83,290.46/114,918.09 = 47,467.40/x
  3. Step 3: Cross multiply
    83,290.46x = 114,918.09 × 47,467.40
  4. Step 4: Simplify right side
    83,290.46x = 5,454,862,945.27
  5. Step 5: Solve for x
    x = 5,454,862,945.27/83,290.46
  6. Step 6: Final answer
    x = 65,492.05

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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.