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Finding the Fourth Proportional to 37,431, 56,155.77 and 11,135.66

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Solution

The fourth proportional to 37,431, 56,155.77 and 11,135.66 is: 16,706.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,431 : 56,155.77 = 11,135.66 : x
  2. Step 2: Convert to fraction form
    37,431/56,155.77 = 11,135.66/x
  3. Step 3: Cross multiply
    37,431x = 56,155.77 × 11,135.66
  4. Step 4: Simplify right side
    37,431x = 625,331,280.98
  5. Step 5: Solve for x
    x = 625,331,280.98/37,431
  6. Step 6: Final answer
    x = 16,706.24

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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.