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Finding the Fourth Proportional to 34,798.38, 52,191.01 and 9,838.23

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Solution

The fourth proportional to 34,798.38, 52,191.01 and 9,838.23 is: 14,755.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,798.38 : 52,191.01 = 9,838.23 : x
  2. Step 2: Convert to fraction form
    34,798.38/52,191.01 = 9,838.23/x
  3. Step 3: Cross multiply
    34,798.38x = 52,191.01 × 9,838.23
  4. Step 4: Simplify right side
    34,798.38x = 513,467,160.31
  5. Step 5: Solve for x
    x = 513,467,160.31/34,798.38
  6. Step 6: Final answer
    x = 14,755.49

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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.