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Finding the Fourth Proportional to 35,646.64, 49,190.22 and 19,730.14

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Solution

The fourth proportional to 35,646.64, 49,190.22 and 19,730.14 is: 27,226.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,646.64 : 49,190.22 = 19,730.14 : x
  2. Step 2: Convert to fraction form
    35,646.64/49,190.22 = 19,730.14/x
  3. Step 3: Cross multiply
    35,646.64x = 49,190.22 × 19,730.14
  4. Step 4: Simplify right side
    35,646.64x = 970,529,927.23
  5. Step 5: Solve for x
    x = 970,529,927.23/35,646.64
  6. Step 6: Final answer
    x = 27,226.41

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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.