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Finding the Fourth Proportional to 32,107.42, 48,149.14 and 11,041.50

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Solution

The fourth proportional to 32,107.42, 48,149.14 and 11,041.50 is: 16,558.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,107.42 : 48,149.14 = 11,041.50 : x
  2. Step 2: Convert to fraction form
    32,107.42/48,149.14 = 11,041.50/x
  3. Step 3: Cross multiply
    32,107.42x = 48,149.14 × 11,041.50
  4. Step 4: Simplify right side
    32,107.42x = 531,638,729.31
  5. Step 5: Solve for x
    x = 531,638,729.31/32,107.42
  6. Step 6: Final answer
    x = 16,558.13

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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.