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Finding the Fourth Proportional to 34,959.92, 52,435.80 and 10,334

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Solution

The fourth proportional to 34,959.92, 52,435.80 and 10,334 is: 15,499.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,959.92 : 52,435.80 = 10,334 : x
  2. Step 2: Convert to fraction form
    34,959.92/52,435.80 = 10,334/x
  3. Step 3: Cross multiply
    34,959.92x = 52,435.80 × 10,334
  4. Step 4: Simplify right side
    34,959.92x = 541,871,557.20
  5. Step 5: Solve for x
    x = 541,871,557.20/34,959.92
  6. Step 6: Final answer
    x = 15,499.79

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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.