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Finding the Fourth Proportional to 46,863.50, 70,311.65 and 20,564.82

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Solution

The fourth proportional to 46,863.50, 70,311.65 and 20,564.82 is: 30,854.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,863.50 : 70,311.65 = 20,564.82 : x
  2. Step 2: Convert to fraction form
    46,863.50/70,311.65 = 20,564.82/x
  3. Step 3: Cross multiply
    46,863.50x = 70,311.65 × 20,564.82
  4. Step 4: Simplify right side
    46,863.50x = 1,445,946,323.33
  5. Step 5: Solve for x
    x = 1,445,946,323.33/46,863.50
  6. Step 6: Final answer
    x = 30,854.43

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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.