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Finding the Fourth Proportional to 82,924.44, 114,454.14 and 52,703.88

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Solution

The fourth proportional to 82,924.44, 114,454.14 and 52,703.88 is: 72,743.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,924.44 : 114,454.14 = 52,703.88 : x
  2. Step 2: Convert to fraction form
    82,924.44/114,454.14 = 52,703.88/x
  3. Step 3: Cross multiply
    82,924.44x = 114,454.14 × 52,703.88
  4. Step 4: Simplify right side
    82,924.44x = 6,032,177,260.06
  5. Step 5: Solve for x
    x = 6,032,177,260.06/82,924.44
  6. Step 6: Final answer
    x = 72,743.06

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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.