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Finding the Fourth Proportional to 34,717.50, 52,085.13 and 10,093.50

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Solution

The fourth proportional to 34,717.50, 52,085.13 and 10,093.50 is: 15,142.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,717.50 : 52,085.13 = 10,093.50 : x
  2. Step 2: Convert to fraction form
    34,717.50/52,085.13 = 10,093.50/x
  3. Step 3: Cross multiply
    34,717.50x = 52,085.13 × 10,093.50
  4. Step 4: Simplify right side
    34,717.50x = 525,721,259.66
  5. Step 5: Solve for x
    x = 525,721,259.66/34,717.50
  6. Step 6: Final answer
    x = 15,142.83

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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.