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Finding the Fourth Proportional to 56,819.12, 78,406.83 and 31,324.16

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Solution

The fourth proportional to 56,819.12, 78,406.83 and 31,324.16 is: 43,225.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,819.12 : 78,406.83 = 31,324.16 : x
  2. Step 2: Convert to fraction form
    56,819.12/78,406.83 = 31,324.16/x
  3. Step 3: Cross multiply
    56,819.12x = 78,406.83 × 31,324.16
  4. Step 4: Simplify right side
    56,819.12x = 2,456,028,088.01
  5. Step 5: Solve for x
    x = 2,456,028,088.01/56,819.12
  6. Step 6: Final answer
    x = 43,225.38

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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.