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Finding the Fourth Proportional to 82,654.75, 114,063.96 and 44,929

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Solution

The fourth proportional to 82,654.75, 114,063.96 and 44,929 is: 62,002.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,654.75 : 114,063.96 = 44,929 : x
  2. Step 2: Convert to fraction form
    82,654.75/114,063.96 = 44,929/x
  3. Step 3: Cross multiply
    82,654.75x = 114,063.96 × 44,929
  4. Step 4: Simplify right side
    82,654.75x = 5,124,779,658.84
  5. Step 5: Solve for x
    x = 5,124,779,658.84/82,654.75
  6. Step 6: Final answer
    x = 62,002.24

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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.