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Finding the Fourth Proportional to 82,573.49, 113,952 and 44,847.74

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Solution

The fourth proportional to 82,573.49, 113,952 and 44,847.74 is: 61,890.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,573.49 : 113,952 = 44,847.74 : x
  2. Step 2: Convert to fraction form
    82,573.49/113,952 = 44,847.74/x
  3. Step 3: Cross multiply
    82,573.49x = 113,952 × 44,847.74
  4. Step 4: Simplify right side
    82,573.49x = 5,110,489,668.48
  5. Step 5: Solve for x
    x = 5,110,489,668.48/82,573.49
  6. Step 6: Final answer
    x = 61,890.20

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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.