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Finding the Fourth Proportional to 35,686.17, 49,224.65 and 22,955.96

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Solution

The fourth proportional to 35,686.17, 49,224.65 and 22,955.96 is: 31,664.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,686.17 : 49,224.65 = 22,955.96 : x
  2. Step 2: Convert to fraction form
    35,686.17/49,224.65 = 22,955.96/x
  3. Step 3: Cross multiply
    35,686.17x = 49,224.65 × 22,955.96
  4. Step 4: Simplify right side
    35,686.17x = 1,129,998,735.51
  5. Step 5: Solve for x
    x = 1,129,998,735.51/35,686.17
  6. Step 6: Final answer
    x = 31,664.89

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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.