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Finding the Fourth Proportional to 35,784.22, 49,382.46 and 19,652.20

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Solution

The fourth proportional to 35,784.22, 49,382.46 and 19,652.20 is: 27,120.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,784.22 : 49,382.46 = 19,652.20 : x
  2. Step 2: Convert to fraction form
    35,784.22/49,382.46 = 19,652.20/x
  3. Step 3: Cross multiply
    35,784.22x = 49,382.46 × 19,652.20
  4. Step 4: Simplify right side
    35,784.22x = 970,473,980.41
  5. Step 5: Solve for x
    x = 970,473,980.41/35,784.22
  6. Step 6: Final answer
    x = 27,120.17

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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.