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Finding the Fourth Proportional to 35,662.54, 49,214.29 and 19,748

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Solution

The fourth proportional to 35,662.54, 49,214.29 and 19,748 is: 27,252.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,662.54 : 49,214.29 = 19,748 : x
  2. Step 2: Convert to fraction form
    35,662.54/49,214.29 = 19,748/x
  3. Step 3: Cross multiply
    35,662.54x = 49,214.29 × 19,748
  4. Step 4: Simplify right side
    35,662.54x = 971,883,798.92
  5. Step 5: Solve for x
    x = 971,883,798.92/35,662.54
  6. Step 6: Final answer
    x = 27,252.23

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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.