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Finding the Fourth Proportional to 32,109.16, 48,169.76 and 14,580.24

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Solution

The fourth proportional to 32,109.16, 48,169.76 and 14,580.24 is: 21,873.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,109.16 : 48,169.76 = 14,580.24 : x
  2. Step 2: Convert to fraction form
    32,109.16/48,169.76 = 14,580.24/x
  3. Step 3: Cross multiply
    32,109.16x = 48,169.76 × 14,580.24
  4. Step 4: Simplify right side
    32,109.16x = 702,326,661.54
  5. Step 5: Solve for x
    x = 702,326,661.54/32,109.16
  6. Step 6: Final answer
    x = 21,873.09

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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.