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Finding the Fourth Proportional to 32,578.50, 48,845.34 and 12,859.32

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Solution

The fourth proportional to 32,578.50, 48,845.34 and 12,859.32 is: 19,280.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,578.50 : 48,845.34 = 12,859.32 : x
  2. Step 2: Convert to fraction form
    32,578.50/48,845.34 = 12,859.32/x
  3. Step 3: Cross multiply
    32,578.50x = 48,845.34 × 12,859.32
  4. Step 4: Simplify right side
    32,578.50x = 628,117,857.57
  5. Step 5: Solve for x
    x = 628,117,857.57/32,578.50
  6. Step 6: Final answer
    x = 19,280.13

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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.