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Finding the Fourth Proportional to 35,905.28, 53,856.02 and 10,944.72

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Solution

The fourth proportional to 35,905.28, 53,856.02 and 10,944.72 is: 16,416.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,905.28 : 53,856.02 = 10,944.72 : x
  2. Step 2: Convert to fraction form
    35,905.28/53,856.02 = 10,944.72/x
  3. Step 3: Cross multiply
    35,905.28x = 53,856.02 × 10,944.72
  4. Step 4: Simplify right side
    35,905.28x = 589,439,086.58
  5. Step 5: Solve for x
    x = 589,439,086.58/35,905.28
  6. Step 6: Final answer
    x = 16,416.50

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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.