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Finding the Fourth Proportional to 32,142.16, 48,214.36 and 9,953.52

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Solution

The fourth proportional to 32,142.16, 48,214.36 and 9,953.52 is: 14,930.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,142.16 : 48,214.36 = 9,953.52 : x
  2. Step 2: Convert to fraction form
    32,142.16/48,214.36 = 9,953.52/x
  3. Step 3: Cross multiply
    32,142.16x = 48,214.36 × 9,953.52
  4. Step 4: Simplify right side
    32,142.16x = 479,902,596.55
  5. Step 5: Solve for x
    x = 479,902,596.55/32,142.16
  6. Step 6: Final answer
    x = 14,930.63

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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.