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Finding the Fourth Proportional to 32,495.76, 48,736.44 and 9,124.56

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Solution

The fourth proportional to 32,495.76, 48,736.44 and 9,124.56 is: 13,684.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,495.76 : 48,736.44 = 9,124.56 : x
  2. Step 2: Convert to fraction form
    32,495.76/48,736.44 = 9,124.56/x
  3. Step 3: Cross multiply
    32,495.76x = 48,736.44 × 9,124.56
  4. Step 4: Simplify right side
    32,495.76x = 444,698,570.97
  5. Step 5: Solve for x
    x = 444,698,570.97/32,495.76
  6. Step 6: Final answer
    x = 13,684.82

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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.