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Finding the Fourth Proportional to 82,726.56, 114,163.80 and 46,915.80

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Solution

The fourth proportional to 82,726.56, 114,163.80 and 46,915.80 is: 64,744.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,726.56 : 114,163.80 = 46,915.80 : x
  2. Step 2: Convert to fraction form
    82,726.56/114,163.80 = 46,915.80/x
  3. Step 3: Cross multiply
    82,726.56x = 114,163.80 × 46,915.80
  4. Step 4: Simplify right side
    82,726.56x = 5,356,086,008.04
  5. Step 5: Solve for x
    x = 5,356,086,008.04/82,726.56
  6. Step 6: Final answer
    x = 64,744.45

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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.