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Finding the Fourth Proportional to 57,069.92, 78,763.92 and 31,924.64

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Solution

The fourth proportional to 57,069.92, 78,763.92 and 31,924.64 is: 44,060.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,069.92 : 78,763.92 = 31,924.64 : x
  2. Step 2: Convert to fraction form
    57,069.92/78,763.92 = 31,924.64/x
  3. Step 3: Cross multiply
    57,069.92x = 78,763.92 × 31,924.64
  4. Step 4: Simplify right side
    57,069.92x = 2,514,509,790.99
  5. Step 5: Solve for x
    x = 2,514,509,790.99/57,069.92
  6. Step 6: Final answer
    x = 44,060.16

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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.