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Finding the Fourth Proportional to 76,197.46, 105,203.86 and 47,560.74

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Solution

The fourth proportional to 76,197.46, 105,203.86 and 47,560.74 is: 65,665.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,197.46 : 105,203.86 = 47,560.74 : x
  2. Step 2: Convert to fraction form
    76,197.46/105,203.86 = 47,560.74/x
  3. Step 3: Cross multiply
    76,197.46x = 105,203.86 × 47,560.74
  4. Step 4: Simplify right side
    76,197.46x = 5,003,573,186.57
  5. Step 5: Solve for x
    x = 5,003,573,186.57/76,197.46
  6. Step 6: Final answer
    x = 65,665.88

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1.5x scale

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.