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Finding the Fourth Proportional to 32,148.61, 48,230.57 and 13,418.22

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Solution

The fourth proportional to 32,148.61, 48,230.57 and 13,418.22 is: 20,130.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,148.61 : 48,230.57 = 13,418.22 : x
  2. Step 2: Convert to fraction form
    32,148.61/48,230.57 = 13,418.22/x
  3. Step 3: Cross multiply
    32,148.61x = 48,230.57 × 13,418.22
  4. Step 4: Simplify right side
    32,148.61x = 647,168,398.99
  5. Step 5: Solve for x
    x = 647,168,398.99/32,148.61
  6. Step 6: Final answer
    x = 20,130.53

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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.