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Finding the Fourth Proportional to 83,193.01, 114,806.10 and 45,467.26

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Solution

The fourth proportional to 83,193.01, 114,806.10 and 45,467.26 is: 62,744.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,193.01 : 114,806.10 = 45,467.26 : x
  2. Step 2: Convert to fraction form
    83,193.01/114,806.10 = 45,467.26/x
  3. Step 3: Cross multiply
    83,193.01x = 114,806.10 × 45,467.26
  4. Step 4: Simplify right side
    83,193.01x = 5,219,918,798.29
  5. Step 5: Solve for x
    x = 5,219,918,798.29/83,193.01
  6. Step 6: Final answer
    x = 62,744.68

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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.