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Finding the Fourth Proportional to 32,155.08, 48,238.32 and 12,432

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Solution

The fourth proportional to 32,155.08, 48,238.32 and 12,432 is: 18,650.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,155.08 : 48,238.32 = 12,432 : x
  2. Step 2: Convert to fraction form
    32,155.08/48,238.32 = 12,432/x
  3. Step 3: Cross multiply
    32,155.08x = 48,238.32 × 12,432
  4. Step 4: Simplify right side
    32,155.08x = 599,698,794.24
  5. Step 5: Solve for x
    x = 599,698,794.24/32,155.08
  6. Step 6: Final answer
    x = 18,650.20

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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.