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Finding the Fourth Proportional to 32,142.90, 48,197.07 and 9,946.74

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Solution

The fourth proportional to 32,142.90, 48,197.07 and 9,946.74 is: 14,914.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,142.90 : 48,197.07 = 9,946.74 : x
  2. Step 2: Convert to fraction form
    32,142.90/48,197.07 = 9,946.74/x
  3. Step 3: Cross multiply
    32,142.90x = 48,197.07 × 9,946.74
  4. Step 4: Simplify right side
    32,142.90x = 479,403,724.05
  5. Step 5: Solve for x
    x = 479,403,724.05/32,142.90
  6. Step 6: Final answer
    x = 14,914.76

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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.