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Finding the Fourth Proportional to 51,384.65, 76,889.52 and 30,334.77

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Solution

The fourth proportional to 51,384.65, 76,889.52 and 30,334.77 is: 45,391.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,384.65 : 76,889.52 = 30,334.77 : x
  2. Step 2: Convert to fraction form
    51,384.65/76,889.52 = 30,334.77/x
  3. Step 3: Cross multiply
    51,384.65x = 76,889.52 × 30,334.77
  4. Step 4: Simplify right side
    51,384.65x = 2,332,425,904.61
  5. Step 5: Solve for x
    x = 2,332,425,904.61/51,384.65
  6. Step 6: Final answer
    x = 45,391.50

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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.