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Finding the Fourth Proportional to 82,542.95, 113,915.57 and 46,738.32

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Solution

The fourth proportional to 82,542.95, 113,915.57 and 46,738.32 is: 64,502.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,542.95 : 113,915.57 = 46,738.32 : x
  2. Step 2: Convert to fraction form
    82,542.95/113,915.57 = 46,738.32/x
  3. Step 3: Cross multiply
    82,542.95x = 113,915.57 × 46,738.32
  4. Step 4: Simplify right side
    82,542.95x = 5,324,221,702.77
  5. Step 5: Solve for x
    x = 5,324,221,702.77/82,542.95
  6. Step 6: Final answer
    x = 64,502.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.