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Finding the Fourth Proportional to 31,075.72, 42,886.31 and 23,405.26

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Solution

The fourth proportional to 31,075.72, 42,886.31 and 23,405.26 is: 32,300.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,075.72 : 42,886.31 = 23,405.26 : x
  2. Step 2: Convert to fraction form
    31,075.72/42,886.31 = 23,405.26/x
  3. Step 3: Cross multiply
    31,075.72x = 42,886.31 × 23,405.26
  4. Step 4: Simplify right side
    31,075.72x = 1,003,765,118.96
  5. Step 5: Solve for x
    x = 1,003,765,118.96/31,075.72
  6. Step 6: Final answer
    x = 32,300.62

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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.