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Finding the Fourth Proportional to 35,775.70, 49,344.82 and 22,159.34

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Solution

The fourth proportional to 35,775.70, 49,344.82 and 22,159.34 is: 30,564.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,775.70 : 49,344.82 = 22,159.34 : x
  2. Step 2: Convert to fraction form
    35,775.70/49,344.82 = 22,159.34/x
  3. Step 3: Cross multiply
    35,775.70x = 49,344.82 × 22,159.34
  4. Step 4: Simplify right side
    35,775.70x = 1,093,448,643.62
  5. Step 5: Solve for x
    x = 1,093,448,643.62/35,775.70
  6. Step 6: Final answer
    x = 30,564.00

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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.