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Finding the Fourth Proportional to 32,521.50, 48,782.25 and 14,066.46

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Solution

The fourth proportional to 32,521.50, 48,782.25 and 14,066.46 is: 21,099.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,521.50 : 48,782.25 = 14,066.46 : x
  2. Step 2: Convert to fraction form
    32,521.50/48,782.25 = 14,066.46/x
  3. Step 3: Cross multiply
    32,521.50x = 48,782.25 × 14,066.46
  4. Step 4: Simplify right side
    32,521.50x = 686,193,568.34
  5. Step 5: Solve for x
    x = 686,193,568.34/32,521.50
  6. Step 6: Final answer
    x = 21,099.69

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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.