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Finding the Fourth Proportional to 35,725.64, 49,297.84 and 20,623.17

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Solution

The fourth proportional to 35,725.64, 49,297.84 and 20,623.17 is: 28,457.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,725.64 : 49,297.84 = 20,623.17 : x
  2. Step 2: Convert to fraction form
    35,725.64/49,297.84 = 20,623.17/x
  3. Step 3: Cross multiply
    35,725.64x = 49,297.84 × 20,623.17
  4. Step 4: Simplify right side
    35,725.64x = 1,016,677,727.40
  5. Step 5: Solve for x
    x = 1,016,677,727.40/35,725.64
  6. Step 6: Final answer
    x = 28,457.93

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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.