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Finding the Fourth Proportional to 32,130.28, 48,197.46 and 9,941.79

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Solution

The fourth proportional to 32,130.28, 48,197.46 and 9,941.79 is: 14,913.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,130.28 : 48,197.46 = 9,941.79 : x
  2. Step 2: Convert to fraction form
    32,130.28/48,197.46 = 9,941.79/x
  3. Step 3: Cross multiply
    32,130.28x = 48,197.46 × 9,941.79
  4. Step 4: Simplify right side
    32,130.28x = 479,169,025.85
  5. Step 5: Solve for x
    x = 479,169,025.85/32,130.28
  6. Step 6: Final answer
    x = 14,913.32

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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.