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Finding the Fourth Proportional to 82,866.58, 114,351.92 and 47,051.88

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Solution

The fourth proportional to 82,866.58, 114,351.92 and 47,051.88 is: 64,929.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,866.58 : 114,351.92 = 47,051.88 : x
  2. Step 2: Convert to fraction form
    82,866.58/114,351.92 = 47,051.88/x
  3. Step 3: Cross multiply
    82,866.58x = 114,351.92 × 47,051.88
  4. Step 4: Simplify right side
    82,866.58x = 5,380,472,817.61
  5. Step 5: Solve for x
    x = 5,380,472,817.61/82,866.58
  6. Step 6: Final answer
    x = 64,929.35

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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.