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Finding the Fourth Proportional to 32,047.92, 48,041.64 and 11,260.08

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Solution

The fourth proportional to 32,047.92, 48,041.64 and 11,260.08 is: 16,879.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,047.92 : 48,041.64 = 11,260.08 : x
  2. Step 2: Convert to fraction form
    32,047.92/48,041.64 = 11,260.08/x
  3. Step 3: Cross multiply
    32,047.92x = 48,041.64 × 11,260.08
  4. Step 4: Simplify right side
    32,047.92x = 540,952,709.73
  5. Step 5: Solve for x
    x = 540,952,709.73/32,047.92
  6. Step 6: Final answer
    x = 16,879.50

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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.