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Finding the Fourth Proportional to 32,898.39, 49,325.88 and 11,827.86

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Solution

The fourth proportional to 32,898.39, 49,325.88 and 11,827.86 is: 17,733.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,898.39 : 49,325.88 = 11,827.86 : x
  2. Step 2: Convert to fraction form
    32,898.39/49,325.88 = 11,827.86/x
  3. Step 3: Cross multiply
    32,898.39x = 49,325.88 × 11,827.86
  4. Step 4: Simplify right side
    32,898.39x = 583,419,603.02
  5. Step 5: Solve for x
    x = 583,419,603.02/32,898.39
  6. Step 6: Final answer
    x = 17,733.99

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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.