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Finding the Fourth Proportional to 82,076.80, 113,266.74 and 46,263.64

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Solution

The fourth proportional to 82,076.80, 113,266.74 and 46,263.64 is: 63,844.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,076.80 : 113,266.74 = 46,263.64 : x
  2. Step 2: Convert to fraction form
    82,076.80/113,266.74 = 46,263.64/x
  3. Step 3: Cross multiply
    82,076.80x = 113,266.74 × 46,263.64
  4. Step 4: Simplify right side
    82,076.80x = 5,240,131,683.33
  5. Step 5: Solve for x
    x = 5,240,131,683.33/82,076.80
  6. Step 6: Final answer
    x = 63,844.25

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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.