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Finding the Fourth Proportional to 83,915.98, 115,804.83 and 46,190.50

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Solution

The fourth proportional to 83,915.98, 115,804.83 and 46,190.50 is: 63,743.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,915.98 : 115,804.83 = 46,190.50 : x
  2. Step 2: Convert to fraction form
    83,915.98/115,804.83 = 46,190.50/x
  3. Step 3: Cross multiply
    83,915.98x = 115,804.83 × 46,190.50
  4. Step 4: Simplify right side
    83,915.98x = 5,349,083,000.12
  5. Step 5: Solve for x
    x = 5,349,083,000.12/83,915.98
  6. Step 6: Final answer
    x = 63,743.32

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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.