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Finding the Fourth Proportional to 82,768.70, 114,212.88 and 46,461.82

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Solution

The fourth proportional to 82,768.70, 114,212.88 and 46,461.82 is: 64,112.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,768.70 : 114,212.88 = 46,461.82 : x
  2. Step 2: Convert to fraction form
    82,768.70/114,212.88 = 46,461.82/x
  3. Step 3: Cross multiply
    82,768.70x = 114,212.88 × 46,461.82
  4. Step 4: Simplify right side
    82,768.70x = 5,306,538,272.24
  5. Step 5: Solve for x
    x = 5,306,538,272.24/82,768.70
  6. Step 6: Final answer
    x = 64,112.86

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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.