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Finding the Fourth Proportional to 35,708.53, 49,276 and 19,792.84

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Solution

The fourth proportional to 35,708.53, 49,276 and 19,792.84 is: 27,313.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,708.53 : 49,276 = 19,792.84 : x
  2. Step 2: Convert to fraction form
    35,708.53/49,276 = 19,792.84/x
  3. Step 3: Cross multiply
    35,708.53x = 49,276 × 19,792.84
  4. Step 4: Simplify right side
    35,708.53x = 975,311,983.84
  5. Step 5: Solve for x
    x = 975,311,983.84/35,708.53
  6. Step 6: Final answer
    x = 27,313.14

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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.