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Finding the Fourth Proportional to 119,059.65, 178,553.84 and 47,959.47

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Solution

The fourth proportional to 119,059.65, 178,553.84 and 47,959.47 is: 71,924.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,059.65 : 178,553.84 = 47,959.47 : x
  2. Step 2: Convert to fraction form
    119,059.65/178,553.84 = 47,959.47/x
  3. Step 3: Cross multiply
    119,059.65x = 178,553.84 × 47,959.47
  4. Step 4: Simplify right side
    119,059.65x = 8,563,347,293.07
  5. Step 5: Solve for x
    x = 8,563,347,293.07/119,059.65
  6. Step 6: Final answer
    x = 71,924.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.