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Finding the Fourth Proportional to 76,207.52, 105,217.74 and 47,570.82

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Solution

The fourth proportional to 76,207.52, 105,217.74 and 47,570.82 is: 65,679.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,207.52 : 105,217.74 = 47,570.82 : x
  2. Step 2: Convert to fraction form
    76,207.52/105,217.74 = 47,570.82/x
  3. Step 3: Cross multiply
    76,207.52x = 105,217.74 × 47,570.82
  4. Step 4: Simplify right side
    76,207.52x = 5,005,294,170.35
  5. Step 5: Solve for x
    x = 5,005,294,170.35/76,207.52
  6. Step 6: Final answer
    x = 65,679.79

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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.