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Finding the Fourth Proportional to 31,105.94, 46,666.19 and 13,580.78

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Solution

The fourth proportional to 31,105.94, 46,666.19 and 13,580.78 is: 20,374.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,105.94 : 46,666.19 = 13,580.78 : x
  2. Step 2: Convert to fraction form
    31,105.94/46,666.19 = 13,580.78/x
  3. Step 3: Cross multiply
    31,105.94x = 46,666.19 × 13,580.78
  4. Step 4: Simplify right side
    31,105.94x = 633,763,060.45
  5. Step 5: Solve for x
    x = 633,763,060.45/31,105.94
  6. Step 6: Final answer
    x = 20,374.35

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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.