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Finding the Fourth Proportional to 32,712.68, 49,069.32 and 13,981

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Solution

The fourth proportional to 32,712.68, 49,069.32 and 13,981 is: 20,971.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,712.68 : 49,069.32 = 13,981 : x
  2. Step 2: Convert to fraction form
    32,712.68/49,069.32 = 13,981/x
  3. Step 3: Cross multiply
    32,712.68x = 49,069.32 × 13,981
  4. Step 4: Simplify right side
    32,712.68x = 686,038,162.92
  5. Step 5: Solve for x
    x = 686,038,162.92/32,712.68
  6. Step 6: Final answer
    x = 20,971.63

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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.