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Finding the Fourth Proportional to 34,662.92, 51,999.50 and 10,035.72

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Solution

The fourth proportional to 34,662.92, 51,999.50 and 10,035.72 is: 15,055.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,662.92 : 51,999.50 = 10,035.72 : x
  2. Step 2: Convert to fraction form
    34,662.92/51,999.50 = 10,035.72/x
  3. Step 3: Cross multiply
    34,662.92x = 51,999.50 × 10,035.72
  4. Step 4: Simplify right side
    34,662.92x = 521,852,422.14
  5. Step 5: Solve for x
    x = 521,852,422.14/34,662.92
  6. Step 6: Final answer
    x = 15,055.06

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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.