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Finding the Fourth Proportional to 32,038.92, 48,064.86 and 11,268.36

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Solution

The fourth proportional to 32,038.92, 48,064.86 and 11,268.36 is: 16,904.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,038.92 : 48,064.86 = 11,268.36 : x
  2. Step 2: Convert to fraction form
    32,038.92/48,064.86 = 11,268.36/x
  3. Step 3: Cross multiply
    32,038.92x = 48,064.86 × 11,268.36
  4. Step 4: Simplify right side
    32,038.92x = 541,612,145.83
  5. Step 5: Solve for x
    x = 541,612,145.83/32,038.92
  6. Step 6: Final answer
    x = 16,904.82

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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.