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Finding the Fourth Proportional to 52,562.75, 78,824.75 and 41,340.03

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Solution

The fourth proportional to 52,562.75, 78,824.75 and 41,340.03 is: 61,994.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,562.75 : 78,824.75 = 41,340.03 : x
  2. Step 2: Convert to fraction form
    52,562.75/78,824.75 = 41,340.03/x
  3. Step 3: Cross multiply
    52,562.75x = 78,824.75 × 41,340.03
  4. Step 4: Simplify right side
    52,562.75x = 3,258,617,323.04
  5. Step 5: Solve for x
    x = 3,258,617,323.04/52,562.75
  6. Step 6: Final answer
    x = 61,994.81

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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.