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Finding the Fourth Proportional to 32,512.88, 48,751.08 and 10,322.12

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Solution

The fourth proportional to 32,512.88, 48,751.08 and 10,322.12 is: 15,477.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,512.88 : 48,751.08 = 10,322.12 : x
  2. Step 2: Convert to fraction form
    32,512.88/48,751.08 = 10,322.12/x
  3. Step 3: Cross multiply
    32,512.88x = 48,751.08 × 10,322.12
  4. Step 4: Simplify right side
    32,512.88x = 503,214,497.89
  5. Step 5: Solve for x
    x = 503,214,497.89/32,512.88
  6. Step 6: Final answer
    x = 15,477.39

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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.