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Finding the Fourth Proportional to 35,232.32, 52,856.28 and 11,858

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Solution

The fourth proportional to 35,232.32, 52,856.28 and 11,858 is: 17,789.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,232.32 : 52,856.28 = 11,858 : x
  2. Step 2: Convert to fraction form
    35,232.32/52,856.28 = 11,858/x
  3. Step 3: Cross multiply
    35,232.32x = 52,856.28 × 11,858
  4. Step 4: Simplify right side
    35,232.32x = 626,769,768.24
  5. Step 5: Solve for x
    x = 626,769,768.24/35,232.32
  6. Step 6: Final answer
    x = 17,789.63

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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.