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Finding the Fourth Proportional to 35,740.30, 49,300.98 and 22,288.20

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Solution

The fourth proportional to 35,740.30, 49,300.98 and 22,288.20 is: 30,744.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,740.30 : 49,300.98 = 22,288.20 : x
  2. Step 2: Convert to fraction form
    35,740.30/49,300.98 = 22,288.20/x
  3. Step 3: Cross multiply
    35,740.30x = 49,300.98 × 22,288.20
  4. Step 4: Simplify right side
    35,740.30x = 1,098,830,102.44
  5. Step 5: Solve for x
    x = 1,098,830,102.44/35,740.30
  6. Step 6: Final answer
    x = 30,744.85

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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.