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Finding the Fourth Proportional to 31,446.72, 43,395.98 and 17,106.78

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Solution

The fourth proportional to 31,446.72, 43,395.98 and 17,106.78 is: 23,607.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,446.72 : 43,395.98 = 17,106.78 : x
  2. Step 2: Convert to fraction form
    31,446.72/43,395.98 = 17,106.78/x
  3. Step 3: Cross multiply
    31,446.72x = 43,395.98 × 17,106.78
  4. Step 4: Simplify right side
    31,446.72x = 742,365,482.74
  5. Step 5: Solve for x
    x = 742,365,482.74/31,446.72
  6. Step 6: Final answer
    x = 23,607.09

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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.