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Finding the Fourth Proportional to 31,024.84, 42,774.32 and 22,539.28

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Solution

The fourth proportional to 31,024.84, 42,774.32 and 22,539.28 is: 31,075.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,024.84 : 42,774.32 = 22,539.28 : x
  2. Step 2: Convert to fraction form
    31,024.84/42,774.32 = 22,539.28/x
  3. Step 3: Cross multiply
    31,024.84x = 42,774.32 × 22,539.28
  4. Step 4: Simplify right side
    31,024.84x = 964,102,375.29
  5. Step 5: Solve for x
    x = 964,102,375.29/31,024.84
  6. Step 6: Final answer
    x = 31,075.18

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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.