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Finding the Fourth Proportional to 31,194.72, 46,810.50 and 16,404.77

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Solution

The fourth proportional to 31,194.72, 46,810.50 and 16,404.77 is: 24,616.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,194.72 : 46,810.50 = 16,404.77 : x
  2. Step 2: Convert to fraction form
    31,194.72/46,810.50 = 16,404.77/x
  3. Step 3: Cross multiply
    31,194.72x = 46,810.50 × 16,404.77
  4. Step 4: Simplify right side
    31,194.72x = 767,915,603.11
  5. Step 5: Solve for x
    x = 767,915,603.11/31,194.72
  6. Step 6: Final answer
    x = 24,616.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.