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Finding the Fourth Proportional to 32,992.76, 49,433.52 and 21,281.24

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Solution

The fourth proportional to 32,992.76, 49,433.52 and 21,281.24 is: 31,885.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,992.76 : 49,433.52 = 21,281.24 : x
  2. Step 2: Convert to fraction form
    32,992.76/49,433.52 = 21,281.24/x
  3. Step 3: Cross multiply
    32,992.76x = 49,433.52 × 21,281.24
  4. Step 4: Simplify right side
    32,992.76x = 1,052,006,603.16
  5. Step 5: Solve for x
    x = 1,052,006,603.16/32,992.76
  6. Step 6: Final answer
    x = 31,885.98

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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.