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Finding the Fourth Proportional to 105,561.70, 158,302.45 and 34,467.46

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Solution

The fourth proportional to 105,561.70, 158,302.45 and 34,467.46 is: 51,688.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,561.70 : 158,302.45 = 34,467.46 : x
  2. Step 2: Convert to fraction form
    105,561.70/158,302.45 = 34,467.46/x
  3. Step 3: Cross multiply
    105,561.70x = 158,302.45 × 34,467.46
  4. Step 4: Simplify right side
    105,561.70x = 5,456,283,363.28
  5. Step 5: Solve for x
    x = 5,456,283,363.28/105,561.70
  6. Step 6: Final answer
    x = 51,688.10

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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.