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Finding the Fourth Proportional to 32,152.50, 48,228.76 and 13,422.32

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Solution

The fourth proportional to 32,152.50, 48,228.76 and 13,422.32 is: 20,133.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,152.50 : 48,228.76 = 13,422.32 : x
  2. Step 2: Convert to fraction form
    32,152.50/48,228.76 = 13,422.32/x
  3. Step 3: Cross multiply
    32,152.50x = 48,228.76 × 13,422.32
  4. Step 4: Simplify right side
    32,152.50x = 647,341,849.92
  5. Step 5: Solve for x
    x = 647,341,849.92/32,152.50
  6. Step 6: Final answer
    x = 20,133.48

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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.