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Finding the Fourth Proportional to 51,299.91, 70,784.82 and 31,152.78

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Solution

The fourth proportional to 51,299.91, 70,784.82 and 31,152.78 is: 42,985.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,299.91 : 70,784.82 = 31,152.78 : x
  2. Step 2: Convert to fraction form
    51,299.91/70,784.82 = 31,152.78/x
  3. Step 3: Cross multiply
    51,299.91x = 70,784.82 × 31,152.78
  4. Step 4: Simplify right side
    51,299.91x = 2,205,143,924.80
  5. Step 5: Solve for x
    x = 2,205,143,924.80/51,299.91
  6. Step 6: Final answer
    x = 42,985.34

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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.