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Finding the Fourth Proportional to 101,491.98, 152,252.56 and 31,376.76

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Solution

The fourth proportional to 101,491.98, 152,252.56 and 31,376.76 is: 47,069.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,491.98 : 152,252.56 = 31,376.76 : x
  2. Step 2: Convert to fraction form
    101,491.98/152,252.56 = 31,376.76/x
  3. Step 3: Cross multiply
    101,491.98x = 152,252.56 × 31,376.76
  4. Step 4: Simplify right side
    101,491.98x = 4,777,192,034.51
  5. Step 5: Solve for x
    x = 4,777,192,034.51/101,491.98
  6. Step 6: Final answer
    x = 47,069.65

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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.