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Finding the Fourth Proportional to 83,469.93, 115,228.40 and 47,653.02

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Solution

The fourth proportional to 83,469.93, 115,228.40 and 47,653.02 is: 65,783.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,469.93 : 115,228.40 = 47,653.02 : x
  2. Step 2: Convert to fraction form
    83,469.93/115,228.40 = 47,653.02/x
  3. Step 3: Cross multiply
    83,469.93x = 115,228.40 × 47,653.02
  4. Step 4: Simplify right side
    83,469.93x = 5,490,980,723.43
  5. Step 5: Solve for x
    x = 5,490,980,723.43/83,469.93
  6. Step 6: Final answer
    x = 65,783.94

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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.