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Finding the Fourth Proportional to 32,504.86, 48,751.71 and 10,313.29

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Solution

The fourth proportional to 32,504.86, 48,751.71 and 10,313.29 is: 15,468.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,504.86 : 48,751.71 = 10,313.29 : x
  2. Step 2: Convert to fraction form
    32,504.86/48,751.71 = 10,313.29/x
  3. Step 3: Cross multiply
    32,504.86x = 48,751.71 × 10,313.29
  4. Step 4: Simplify right side
    32,504.86x = 502,790,523.23
  5. Step 5: Solve for x
    x = 502,790,523.23/32,504.86
  6. Step 6: Final answer
    x = 15,468.16

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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.