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Finding the Fourth Proportional to 32,403.74, 48,535.14 and 15,728.68

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Solution

The fourth proportional to 32,403.74, 48,535.14 and 15,728.68 is: 23,558.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,403.74 : 48,535.14 = 15,728.68 : x
  2. Step 2: Convert to fraction form
    32,403.74/48,535.14 = 15,728.68/x
  3. Step 3: Cross multiply
    32,403.74x = 48,535.14 × 15,728.68
  4. Step 4: Simplify right side
    32,403.74x = 763,393,685.82
  5. Step 5: Solve for x
    x = 763,393,685.82/32,403.74
  6. Step 6: Final answer
    x = 23,558.81

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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.