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Finding the Fourth Proportional to 32,652.99, 48,933.32 and 13,914.18

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Solution

The fourth proportional to 32,652.99, 48,933.32 and 13,914.18 is: 20,851.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,652.99 : 48,933.32 = 13,914.18 : x
  2. Step 2: Convert to fraction form
    32,652.99/48,933.32 = 13,914.18/x
  3. Step 3: Cross multiply
    32,652.99x = 48,933.32 × 13,914.18
  4. Step 4: Simplify right side
    32,652.99x = 680,866,952.91
  5. Step 5: Solve for x
    x = 680,866,952.91/32,652.99
  6. Step 6: Final answer
    x = 20,851.60

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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.