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Finding the Fourth Proportional to 57,205.96, 85,821.32 and 23,472.06

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Solution

The fourth proportional to 57,205.96, 85,821.32 and 23,472.06 is: 35,213.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,205.96 : 85,821.32 = 23,472.06 : x
  2. Step 2: Convert to fraction form
    57,205.96/85,821.32 = 23,472.06/x
  3. Step 3: Cross multiply
    57,205.96x = 85,821.32 × 23,472.06
  4. Step 4: Simplify right side
    57,205.96x = 2,014,402,909.17
  5. Step 5: Solve for x
    x = 2,014,402,909.17/57,205.96
  6. Step 6: Final answer
    x = 35,213.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.