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Finding the Fourth Proportional to 31,405.34, 43,341.80 and 17,980.81

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Solution

The fourth proportional to 31,405.34, 43,341.80 and 17,980.81 is: 24,814.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,405.34 : 43,341.80 = 17,980.81 : x
  2. Step 2: Convert to fraction form
    31,405.34/43,341.80 = 17,980.81/x
  3. Step 3: Cross multiply
    31,405.34x = 43,341.80 × 17,980.81
  4. Step 4: Simplify right side
    31,405.34x = 779,320,472.60
  5. Step 5: Solve for x
    x = 779,320,472.60/31,405.34
  6. Step 6: Final answer
    x = 24,814.90

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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.