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Finding the Fourth Proportional to 32,360, 48,536.76 and 23,612

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Solution

The fourth proportional to 32,360, 48,536.76 and 23,612 is: 35,415.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,360 : 48,536.76 = 23,612 : x
  2. Step 2: Convert to fraction form
    32,360/48,536.76 = 23,612/x
  3. Step 3: Cross multiply
    32,360x = 48,536.76 × 23,612
  4. Step 4: Simplify right side
    32,360x = 1,146,049,977.12
  5. Step 5: Solve for x
    x = 1,146,049,977.12/32,360
  6. Step 6: Final answer
    x = 35,415.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.