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Finding the Fourth Proportional to 32,971.29, 45,500.32 and 17,864.34

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Solution

The fourth proportional to 32,971.29, 45,500.32 and 17,864.34 is: 24,652.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,971.29 : 45,500.32 = 17,864.34 : x
  2. Step 2: Convert to fraction form
    32,971.29/45,500.32 = 17,864.34/x
  3. Step 3: Cross multiply
    32,971.29x = 45,500.32 × 17,864.34
  4. Step 4: Simplify right side
    32,971.29x = 812,833,186.59
  5. Step 5: Solve for x
    x = 812,833,186.59/32,971.29
  6. Step 6: Final answer
    x = 24,652.76

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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.