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Finding the Fourth Proportional to 32,146.47, 44,358.14 and 17,997.03

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Solution

The fourth proportional to 32,146.47, 44,358.14 and 17,997.03 is: 24,833.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,146.47 : 44,358.14 = 17,997.03 : x
  2. Step 2: Convert to fraction form
    32,146.47/44,358.14 = 17,997.03/x
  3. Step 3: Cross multiply
    32,146.47x = 44,358.14 × 17,997.03
  4. Step 4: Simplify right side
    32,146.47x = 798,314,686.34
  5. Step 5: Solve for x
    x = 798,314,686.34/32,146.47
  6. Step 6: Final answer
    x = 24,833.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.