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Finding the Fourth Proportional to 32,083.76, 48,114.70 and 16,282.72

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Solution

The fourth proportional to 32,083.76, 48,114.70 and 16,282.72 is: 24,418.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,083.76 : 48,114.70 = 16,282.72 : x
  2. Step 2: Convert to fraction form
    32,083.76/48,114.70 = 16,282.72/x
  3. Step 3: Cross multiply
    32,083.76x = 48,114.70 × 16,282.72
  4. Step 4: Simplify right side
    32,083.76x = 783,438,187.98
  5. Step 5: Solve for x
    x = 783,438,187.98/32,083.76
  6. Step 6: Final answer
    x = 24,418.53

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1.5x scale

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.