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Finding the Fourth Proportional to 32,578.86, 48,835.08 and 12,846.48

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Solution

The fourth proportional to 32,578.86, 48,835.08 and 12,846.48 is: 19,256.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,578.86 : 48,835.08 = 12,846.48 : x
  2. Step 2: Convert to fraction form
    32,578.86/48,835.08 = 12,846.48/x
  3. Step 3: Cross multiply
    32,578.86x = 48,835.08 × 12,846.48
  4. Step 4: Simplify right side
    32,578.86x = 627,358,878.52
  5. Step 5: Solve for x
    x = 627,358,878.52/32,578.86
  6. Step 6: Final answer
    x = 19,256.62

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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.