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Finding the Fourth Proportional to 32,433.84, 48,647.14 and 8,743.74

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Solution

The fourth proportional to 32,433.84, 48,647.14 and 8,743.74 is: 13,114.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,433.84 : 48,647.14 = 8,743.74 : x
  2. Step 2: Convert to fraction form
    32,433.84/48,647.14 = 8,743.74/x
  3. Step 3: Cross multiply
    32,433.84x = 48,647.14 × 8,743.74
  4. Step 4: Simplify right side
    32,433.84x = 425,357,900.18
  5. Step 5: Solve for x
    x = 425,357,900.18/32,433.84
  6. Step 6: Final answer
    x = 13,114.63

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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.