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Finding the Fourth Proportional to 83,025.12, 114,570 and 47,223.84

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Solution

The fourth proportional to 83,025.12, 114,570 and 47,223.84 is: 65,166.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,025.12 : 114,570 = 47,223.84 : x
  2. Step 2: Convert to fraction form
    83,025.12/114,570 = 47,223.84/x
  3. Step 3: Cross multiply
    83,025.12x = 114,570 × 47,223.84
  4. Step 4: Simplify right side
    83,025.12x = 5,410,435,348.80
  5. Step 5: Solve for x
    x = 5,410,435,348.80/83,025.12
  6. Step 6: Final answer
    x = 65,166.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.