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Finding the Fourth Proportional to 82,571.34, 113,951.14 and 46,760.58

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Solution

The fourth proportional to 82,571.34, 113,951.14 and 46,760.58 is: 64,531.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,571.34 : 113,951.14 = 46,760.58 : x
  2. Step 2: Convert to fraction form
    82,571.34/113,951.14 = 46,760.58/x
  3. Step 3: Cross multiply
    82,571.34x = 113,951.14 × 46,760.58
  4. Step 4: Simplify right side
    82,571.34x = 5,328,421,398.06
  5. Step 5: Solve for x
    x = 5,328,421,398.06/82,571.34
  6. Step 6: Final answer
    x = 64,531.12

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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.