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Finding the Fourth Proportional to 34,639.92, 51,967.56 and 10,014

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Solution

The fourth proportional to 34,639.92, 51,967.56 and 10,014 is: 15,023.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,639.92 : 51,967.56 = 10,014 : x
  2. Step 2: Convert to fraction form
    34,639.92/51,967.56 = 10,014/x
  3. Step 3: Cross multiply
    34,639.92x = 51,967.56 × 10,014
  4. Step 4: Simplify right side
    34,639.92x = 520,403,145.84
  5. Step 5: Solve for x
    x = 520,403,145.84/34,639.92
  6. Step 6: Final answer
    x = 15,023.22

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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.