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Finding the Fourth Proportional to 57,210.79, 85,737.21 and 41,288.89

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Solution

The fourth proportional to 57,210.79, 85,737.21 and 41,288.89 is: 61,876.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,210.79 : 85,737.21 = 41,288.89 : x
  2. Step 2: Convert to fraction form
    57,210.79/85,737.21 = 41,288.89/x
  3. Step 3: Cross multiply
    57,210.79x = 85,737.21 × 41,288.89
  4. Step 4: Simplify right side
    57,210.79x = 3,539,994,232.60
  5. Step 5: Solve for x
    x = 3,539,994,232.60/57,210.79
  6. Step 6: Final answer
    x = 61,876.34

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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.