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Finding the Fourth Proportional to 35,009.92, 52,511.04 and 10,384

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Solution

The fourth proportional to 35,009.92, 52,511.04 and 10,384 is: 15,574.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,009.92 : 52,511.04 = 10,384 : x
  2. Step 2: Convert to fraction form
    35,009.92/52,511.04 = 10,384/x
  3. Step 3: Cross multiply
    35,009.92x = 52,511.04 × 10,384
  4. Step 4: Simplify right side
    35,009.92x = 545,274,639.36
  5. Step 5: Solve for x
    x = 545,274,639.36/35,009.92
  6. Step 6: Final answer
    x = 15,574.86

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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.