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Finding the Fourth Proportional to 32,990.32, 49,483.86 and 10,814.14

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Solution

The fourth proportional to 32,990.32, 49,483.86 and 10,814.14 is: 16,220.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,990.32 : 49,483.86 = 10,814.14 : x
  2. Step 2: Convert to fraction form
    32,990.32/49,483.86 = 10,814.14/x
  3. Step 3: Cross multiply
    32,990.32x = 49,483.86 × 10,814.14
  4. Step 4: Simplify right side
    32,990.32x = 535,125,389.78
  5. Step 5: Solve for x
    x = 535,125,389.78/32,990.32
  6. Step 6: Final answer
    x = 16,220.68

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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.