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Finding the Fourth Proportional to 32,832.60, 49,257 and 9,460.86

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Solution

The fourth proportional to 32,832.60, 49,257 and 9,460.86 is: 14,193.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,832.60 : 49,257 = 9,460.86 : x
  2. Step 2: Convert to fraction form
    32,832.60/49,257 = 9,460.86/x
  3. Step 3: Cross multiply
    32,832.60x = 49,257 × 9,460.86
  4. Step 4: Simplify right side
    32,832.60x = 466,013,581.02
  5. Step 5: Solve for x
    x = 466,013,581.02/32,832.60
  6. Step 6: Final answer
    x = 14,193.62

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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.