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Finding the Fourth Proportional to 32,212.49, 48,322.04 and 11,152.50

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Solution

The fourth proportional to 32,212.49, 48,322.04 and 11,152.50 is: 16,729.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,212.49 : 48,322.04 = 11,152.50 : x
  2. Step 2: Convert to fraction form
    32,212.49/48,322.04 = 11,152.50/x
  3. Step 3: Cross multiply
    32,212.49x = 48,322.04 × 11,152.50
  4. Step 4: Simplify right side
    32,212.49x = 538,911,253.73
  5. Step 5: Solve for x
    x = 538,911,253.73/32,212.49
  6. Step 6: Final answer
    x = 16,729.89

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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.