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Finding the Fourth Proportional to 82,175.93, 113,408.13 and 46,352.87

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Solution

The fourth proportional to 82,175.93, 113,408.13 and 46,352.87 is: 63,969.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,175.93 : 113,408.13 = 46,352.87 : x
  2. Step 2: Convert to fraction form
    82,175.93/113,408.13 = 46,352.87/x
  3. Step 3: Cross multiply
    82,175.93x = 113,408.13 × 46,352.87
  4. Step 4: Simplify right side
    82,175.93x = 5,256,792,306.83
  5. Step 5: Solve for x
    x = 5,256,792,306.83/82,175.93
  6. Step 6: Final answer
    x = 63,969.98

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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.