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Finding the Fourth Proportional to 31,446.86, 43,416.06 and 21,641

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Solution

The fourth proportional to 31,446.86, 43,416.06 and 21,641 is: 29,877.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,446.86 : 43,416.06 = 21,641 : x
  2. Step 2: Convert to fraction form
    31,446.86/43,416.06 = 21,641/x
  3. Step 3: Cross multiply
    31,446.86x = 43,416.06 × 21,641
  4. Step 4: Simplify right side
    31,446.86x = 939,566,954.46
  5. Step 5: Solve for x
    x = 939,566,954.46/31,446.86
  6. Step 6: Final answer
    x = 29,877.93

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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.