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Finding the Fourth Proportional to 46,997.98, 64,868.52 and 31,915.78

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Solution

The fourth proportional to 46,997.98, 64,868.52 and 31,915.78 is: 44,051.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,997.98 : 64,868.52 = 31,915.78 : x
  2. Step 2: Convert to fraction form
    46,997.98/64,868.52 = 31,915.78/x
  3. Step 3: Cross multiply
    46,997.98x = 64,868.52 × 31,915.78
  4. Step 4: Simplify right side
    46,997.98x = 2,070,329,413.25
  5. Step 5: Solve for x
    x = 2,070,329,413.25/46,997.98
  6. Step 6: Final answer
    x = 44,051.46

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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.