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Finding the Fourth Proportional to 32,132.48, 48,205.77 and 9,642.20

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Solution

The fourth proportional to 32,132.48, 48,205.77 and 9,642.20 is: 14,465.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,132.48 : 48,205.77 = 9,642.20 : x
  2. Step 2: Convert to fraction form
    32,132.48/48,205.77 = 9,642.20/x
  3. Step 3: Cross multiply
    32,132.48x = 48,205.77 × 9,642.20
  4. Step 4: Simplify right side
    32,132.48x = 464,809,675.49
  5. Step 5: Solve for x
    x = 464,809,675.49/32,132.48
  6. Step 6: Final answer
    x = 14,465.42

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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.