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Finding the Fourth Proportional to 32,187.42, 48,283.25 and 11,129.50

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Solution

The fourth proportional to 32,187.42, 48,283.25 and 11,129.50 is: 16,694.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,187.42 : 48,283.25 = 11,129.50 : x
  2. Step 2: Convert to fraction form
    32,187.42/48,283.25 = 11,129.50/x
  3. Step 3: Cross multiply
    32,187.42x = 48,283.25 × 11,129.50
  4. Step 4: Simplify right side
    32,187.42x = 537,368,226.59
  5. Step 5: Solve for x
    x = 537,368,226.59/32,187.42
  6. Step 6: Final answer
    x = 16,694.98

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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.