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Finding the Fourth Proportional to 32,590.08, 48,867.84 and 14,112

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Solution

The fourth proportional to 32,590.08, 48,867.84 and 14,112 is: 21,160.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,590.08 : 48,867.84 = 14,112 : x
  2. Step 2: Convert to fraction form
    32,590.08/48,867.84 = 14,112/x
  3. Step 3: Cross multiply
    32,590.08x = 48,867.84 × 14,112
  4. Step 4: Simplify right side
    32,590.08x = 689,622,958.08
  5. Step 5: Solve for x
    x = 689,622,958.08/32,590.08
  6. Step 6: Final answer
    x = 21,160.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.