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Finding the Fourth Proportional to 32,395.86, 48,593.79 and 9,022.23

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Solution

The fourth proportional to 32,395.86, 48,593.79 and 9,022.23 is: 13,533.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,395.86 : 48,593.79 = 9,022.23 : x
  2. Step 2: Convert to fraction form
    32,395.86/48,593.79 = 9,022.23/x
  3. Step 3: Cross multiply
    32,395.86x = 48,593.79 × 9,022.23
  4. Step 4: Simplify right side
    32,395.86x = 438,424,349.95
  5. Step 5: Solve for x
    x = 438,424,349.95/32,395.86
  6. Step 6: Final answer
    x = 13,533.35

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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.