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Finding the Fourth Proportional to 34,736.03, 52,107.12 and 9,776.28

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Solution

The fourth proportional to 34,736.03, 52,107.12 and 9,776.28 is: 14,665.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,736.03 : 52,107.12 = 9,776.28 : x
  2. Step 2: Convert to fraction form
    34,736.03/52,107.12 = 9,776.28/x
  3. Step 3: Cross multiply
    34,736.03x = 52,107.12 × 9,776.28
  4. Step 4: Simplify right side
    34,736.03x = 509,413,795.11
  5. Step 5: Solve for x
    x = 509,413,795.11/34,736.03
  6. Step 6: Final answer
    x = 14,665.29

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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.