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Finding the Fourth Proportional to 105,602.84, 158,391.03 and 34,519.53

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Solution

The fourth proportional to 105,602.84, 158,391.03 and 34,519.53 is: 51,774.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,602.84 : 158,391.03 = 34,519.53 : x
  2. Step 2: Convert to fraction form
    105,602.84/158,391.03 = 34,519.53/x
  3. Step 3: Cross multiply
    105,602.84x = 158,391.03 × 34,519.53
  4. Step 4: Simplify right side
    105,602.84x = 5,467,583,911.82
  5. Step 5: Solve for x
    x = 5,467,583,911.82/105,602.84
  6. Step 6: Final answer
    x = 51,774.97

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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.