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Finding the Fourth Proportional to 101,696.95, 152,543.79 and 31,576.33

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Solution

The fourth proportional to 101,696.95, 152,543.79 and 31,576.33 is: 47,363.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,696.95 : 152,543.79 = 31,576.33 : x
  2. Step 2: Convert to fraction form
    101,696.95/152,543.79 = 31,576.33/x
  3. Step 3: Cross multiply
    101,696.95x = 152,543.79 × 31,576.33
  4. Step 4: Simplify right side
    101,696.95x = 4,816,773,052.49
  5. Step 5: Solve for x
    x = 4,816,773,052.49/101,696.95
  6. Step 6: Final answer
    x = 47,363.99

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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.