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Finding the Fourth Proportional to 32,143.20, 48,182.40 and 14,625.60

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Solution

The fourth proportional to 32,143.20, 48,182.40 and 14,625.60 is: 21,923.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,143.20 : 48,182.40 = 14,625.60 : x
  2. Step 2: Convert to fraction form
    32,143.20/48,182.40 = 14,625.60/x
  3. Step 3: Cross multiply
    32,143.20x = 48,182.40 × 14,625.60
  4. Step 4: Simplify right side
    32,143.20x = 704,696,509.44
  5. Step 5: Solve for x
    x = 704,696,509.44/32,143.20
  6. Step 6: Final answer
    x = 21,923.66

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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.