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Finding the Fourth Proportional to 52,564.97, 78,745.32 and 46,674.65

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Solution

The fourth proportional to 52,564.97, 78,745.32 and 46,674.65 is: 69,921.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,564.97 : 78,745.32 = 46,674.65 : x
  2. Step 2: Convert to fraction form
    52,564.97/78,745.32 = 46,674.65/x
  3. Step 3: Cross multiply
    52,564.97x = 78,745.32 × 46,674.65
  4. Step 4: Simplify right side
    52,564.97x = 3,675,409,856.41
  5. Step 5: Solve for x
    x = 3,675,409,856.41/52,564.97
  6. Step 6: Final answer
    x = 69,921.28

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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.