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Finding the Fourth Proportional to 52,787.91, 79,071.69 and 31,660.95

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Solution

The fourth proportional to 52,787.91, 79,071.69 and 31,660.95 is: 47,425.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,787.91 : 79,071.69 = 31,660.95 : x
  2. Step 2: Convert to fraction form
    52,787.91/79,071.69 = 31,660.95/x
  3. Step 3: Cross multiply
    52,787.91x = 79,071.69 × 31,660.95
  4. Step 4: Simplify right side
    52,787.91x = 2,503,484,823.51
  5. Step 5: Solve for x
    x = 2,503,484,823.51/52,787.91
  6. Step 6: Final answer
    x = 47,425.34

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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.