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Finding the Fourth Proportional to 83,922.10, 125,883.15 and 46,597.30

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Solution

The fourth proportional to 83,922.10, 125,883.15 and 46,597.30 is: 69,895.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,922.10 : 125,883.15 = 46,597.30 : x
  2. Step 2: Convert to fraction form
    83,922.10/125,883.15 = 46,597.30/x
  3. Step 3: Cross multiply
    83,922.10x = 125,883.15 × 46,597.30
  4. Step 4: Simplify right side
    83,922.10x = 5,865,814,905.50
  5. Step 5: Solve for x
    x = 5,865,814,905.50/83,922.10
  6. Step 6: Final answer
    x = 69,895.95

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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.