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Finding the Fourth Proportional to 119,775.92, 179,664.42 and 31,023.16

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Solution

The fourth proportional to 119,775.92, 179,664.42 and 31,023.16 is: 46,534.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,775.92 : 179,664.42 = 31,023.16 : x
  2. Step 2: Convert to fraction form
    119,775.92/179,664.42 = 31,023.16/x
  3. Step 3: Cross multiply
    119,775.92x = 179,664.42 × 31,023.16
  4. Step 4: Simplify right side
    119,775.92x = 5,573,758,047.97
  5. Step 5: Solve for x
    x = 5,573,758,047.97/119,775.92
  6. Step 6: Final answer
    x = 46,534.88

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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.