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Finding the Fourth Proportional to 56,384.36, 77,815.16 and 31,236.20

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Solution

The fourth proportional to 56,384.36, 77,815.16 and 31,236.20 is: 43,108.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,384.36 : 77,815.16 = 31,236.20 : x
  2. Step 2: Convert to fraction form
    56,384.36/77,815.16 = 31,236.20/x
  3. Step 3: Cross multiply
    56,384.36x = 77,815.16 × 31,236.20
  4. Step 4: Simplify right side
    56,384.36x = 2,430,649,900.79
  5. Step 5: Solve for x
    x = 2,430,649,900.79/56,384.36
  6. Step 6: Final answer
    x = 43,108.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.