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Finding the Fourth Proportional to 66,684.56, 99,957.72 and 31,597.52

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Solution

The fourth proportional to 66,684.56, 99,957.72 and 31,597.52 is: 47,363.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,684.56 : 99,957.72 = 31,597.52 : x
  2. Step 2: Convert to fraction form
    66,684.56/99,957.72 = 31,597.52/x
  3. Step 3: Cross multiply
    66,684.56x = 99,957.72 × 31,597.52
  4. Step 4: Simplify right side
    66,684.56x = 3,158,416,056.85
  5. Step 5: Solve for x
    x = 3,158,416,056.85/66,684.56
  6. Step 6: Final answer
    x = 47,363.53

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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.