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Finding the Fourth Proportional to 32,197.01, 48,291.41 and 12,462.06

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Solution

The fourth proportional to 32,197.01, 48,291.41 and 12,462.06 is: 18,691.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,197.01 : 48,291.41 = 12,462.06 : x
  2. Step 2: Convert to fraction form
    32,197.01/48,291.41 = 12,462.06/x
  3. Step 3: Cross multiply
    32,197.01x = 48,291.41 × 12,462.06
  4. Step 4: Simplify right side
    32,197.01x = 601,810,386.59
  5. Step 5: Solve for x
    x = 601,810,386.59/32,197.01
  6. Step 6: Final answer
    x = 18,691.50

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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.