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Finding the Fourth Proportional to 32,991.47, 49,442.04 and 14,000.21

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Solution

The fourth proportional to 32,991.47, 49,442.04 and 14,000.21 is: 20,981.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,991.47 : 49,442.04 = 14,000.21 : x
  2. Step 2: Convert to fraction form
    32,991.47/49,442.04 = 14,000.21/x
  3. Step 3: Cross multiply
    32,991.47x = 49,442.04 × 14,000.21
  4. Step 4: Simplify right side
    32,991.47x = 692,198,695.62
  5. Step 5: Solve for x
    x = 692,198,695.62/32,991.47
  6. Step 6: Final answer
    x = 20,981.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.