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Finding the Fourth Proportional to 32,980.52, 49,468.86 and 10,808.36

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Solution

The fourth proportional to 32,980.52, 49,468.86 and 10,808.36 is: 16,211.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,980.52 : 49,468.86 = 10,808.36 : x
  2. Step 2: Convert to fraction form
    32,980.52/49,468.86 = 10,808.36/x
  3. Step 3: Cross multiply
    32,980.52x = 49,468.86 × 10,808.36
  4. Step 4: Simplify right side
    32,980.52x = 534,677,247.67
  5. Step 5: Solve for x
    x = 534,677,247.67/32,980.52
  6. Step 6: Final answer
    x = 16,211.91

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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.