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Finding the Fourth Proportional to 31,409.14, 43,347.28 and 21,359.88

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Solution

The fourth proportional to 31,409.14, 43,347.28 and 21,359.88 is: 29,478.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,409.14 : 43,347.28 = 21,359.88 : x
  2. Step 2: Convert to fraction form
    31,409.14/43,347.28 = 21,359.88/x
  3. Step 3: Cross multiply
    31,409.14x = 43,347.28 × 21,359.88
  4. Step 4: Simplify right side
    31,409.14x = 925,892,699.13
  5. Step 5: Solve for x
    x = 925,892,699.13/31,409.14
  6. Step 6: Final answer
    x = 29,478.45

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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.