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Finding the Fourth Proportional to 35,564.57, 49,057.42 and 22,813.46

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Solution

The fourth proportional to 35,564.57, 49,057.42 and 22,813.46 is: 31,468.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,564.57 : 49,057.42 = 22,813.46 : x
  2. Step 2: Convert to fraction form
    35,564.57/49,057.42 = 22,813.46/x
  3. Step 3: Cross multiply
    35,564.57x = 49,057.42 × 22,813.46
  4. Step 4: Simplify right side
    35,564.57x = 1,119,169,374.81
  5. Step 5: Solve for x
    x = 1,119,169,374.81/35,564.57
  6. Step 6: Final answer
    x = 31,468.66

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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.