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Finding the Fourth Proportional to 82,174.93, 113,406.75 and 46,351.87

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Solution

The fourth proportional to 82,174.93, 113,406.75 and 46,351.87 is: 63,968.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,174.93 : 113,406.75 = 46,351.87 : x
  2. Step 2: Convert to fraction form
    82,174.93/113,406.75 = 46,351.87/x
  3. Step 3: Cross multiply
    82,174.93x = 113,406.75 × 46,351.87
  4. Step 4: Simplify right side
    82,174.93x = 5,256,614,649.61
  5. Step 5: Solve for x
    x = 5,256,614,649.61/82,174.93
  6. Step 6: Final answer
    x = 63,968.59

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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.