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Finding the Fourth Proportional to 32,971.30, 45,500.03 and 17,863.06

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Solution

The fourth proportional to 32,971.30, 45,500.03 and 17,863.06 is: 24,650.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,971.30 : 45,500.03 = 17,863.06 : x
  2. Step 2: Convert to fraction form
    32,971.30/45,500.03 = 17,863.06/x
  3. Step 3: Cross multiply
    32,971.30x = 45,500.03 × 17,863.06
  4. Step 4: Simplify right side
    32,971.30x = 812,769,587.16
  5. Step 5: Solve for x
    x = 812,769,587.16/32,971.30
  6. Step 6: Final answer
    x = 24,650.82

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Why These Related Problems?

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