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Finding the Fourth Proportional to 41,017.86, 56,603.04 and 23,116.50

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Solution

The fourth proportional to 41,017.86, 56,603.04 and 23,116.50 is: 31,899.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,017.86 : 56,603.04 = 23,116.50 : x
  2. Step 2: Convert to fraction form
    41,017.86/56,603.04 = 23,116.50/x
  3. Step 3: Cross multiply
    41,017.86x = 56,603.04 × 23,116.50
  4. Step 4: Simplify right side
    41,017.86x = 1,308,464,174.16
  5. Step 5: Solve for x
    x = 1,308,464,174.16/41,017.86
  6. Step 6: Final answer
    x = 31,899.86

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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.