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Finding the Fourth Proportional to 83,186.76, 114,797.48 and 45,461.01

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Solution

The fourth proportional to 83,186.76, 114,797.48 and 45,461.01 is: 62,736.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,186.76 : 114,797.48 = 45,461.01 : x
  2. Step 2: Convert to fraction form
    83,186.76/114,797.48 = 45,461.01/x
  3. Step 3: Cross multiply
    83,186.76x = 114,797.48 × 45,461.01
  4. Step 4: Simplify right side
    83,186.76x = 5,218,809,158.95
  5. Step 5: Solve for x
    x = 5,218,809,158.95/83,186.76
  6. Step 6: Final answer
    x = 62,736.06

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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.