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Finding the Fourth Proportional to 32,145.36, 48,225.96 and 9,959.28

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Solution

The fourth proportional to 32,145.36, 48,225.96 and 9,959.28 is: 14,941.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,145.36 : 48,225.96 = 9,959.28 : x
  2. Step 2: Convert to fraction form
    32,145.36/48,225.96 = 9,959.28/x
  3. Step 3: Cross multiply
    32,145.36x = 48,225.96 × 9,959.28
  4. Step 4: Simplify right side
    32,145.36x = 480,295,838.91
  5. Step 5: Solve for x
    x = 480,295,838.91/32,145.36
  6. Step 6: Final answer
    x = 14,941.37

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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.