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Finding the Fourth Proportional to 83,305.49, 114,958.71 and 47,507.02

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Solution

The fourth proportional to 83,305.49, 114,958.71 and 47,507.02 is: 65,558.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,305.49 : 114,958.71 = 47,507.02 : x
  2. Step 2: Convert to fraction form
    83,305.49/114,958.71 = 47,507.02/x
  3. Step 3: Cross multiply
    83,305.49x = 114,958.71 × 47,507.02
  4. Step 4: Simplify right side
    83,305.49x = 5,461,345,447.75
  5. Step 5: Solve for x
    x = 5,461,345,447.75/83,305.49
  6. Step 6: Final answer
    x = 65,558.05

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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.