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Finding the Fourth Proportional to 32,943.14, 49,416.87 and 13,219.14

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Solution

The fourth proportional to 32,943.14, 49,416.87 and 13,219.14 is: 19,829.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,943.14 : 49,416.87 = 13,219.14 : x
  2. Step 2: Convert to fraction form
    32,943.14/49,416.87 = 13,219.14/x
  3. Step 3: Cross multiply
    32,943.14x = 49,416.87 × 13,219.14
  4. Step 4: Simplify right side
    32,943.14x = 653,248,522.89
  5. Step 5: Solve for x
    x = 653,248,522.89/32,943.14
  6. Step 6: Final answer
    x = 19,829.58

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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.