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Finding the Fourth Proportional to 32,574.63, 48,862.14 and 9,201.27

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Solution

The fourth proportional to 32,574.63, 48,862.14 and 9,201.27 is: 13,801.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,574.63 : 48,862.14 = 9,201.27 : x
  2. Step 2: Convert to fraction form
    32,574.63/48,862.14 = 9,201.27/x
  3. Step 3: Cross multiply
    32,574.63x = 48,862.14 × 9,201.27
  4. Step 4: Simplify right side
    32,574.63x = 449,593,742.92
  5. Step 5: Solve for x
    x = 449,593,742.92/32,574.63
  6. Step 6: Final answer
    x = 13,801.96

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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.