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Finding the Fourth Proportional to 53,475.60, 80,211.70 and 25,415.84

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Solution

The fourth proportional to 53,475.60, 80,211.70 and 25,415.84 is: 38,122.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,475.60 : 80,211.70 = 25,415.84 : x
  2. Step 2: Convert to fraction form
    53,475.60/80,211.70 = 25,415.84/x
  3. Step 3: Cross multiply
    53,475.60x = 80,211.70 × 25,415.84
  4. Step 4: Simplify right side
    53,475.60x = 2,038,647,733.33
  5. Step 5: Solve for x
    x = 2,038,647,733.33/53,475.60
  6. Step 6: Final answer
    x = 38,122.95

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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.