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Finding the Fourth Proportional to 35,696.92, 49,261.16 and 19,564.11

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Solution

The fourth proportional to 35,696.92, 49,261.16 and 19,564.11 is: 26,998.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,696.92 : 49,261.16 = 19,564.11 : x
  2. Step 2: Convert to fraction form
    35,696.92/49,261.16 = 19,564.11/x
  3. Step 3: Cross multiply
    35,696.92x = 49,261.16 × 19,564.11
  4. Step 4: Simplify right side
    35,696.92x = 963,750,506.66
  5. Step 5: Solve for x
    x = 963,750,506.66/35,696.92
  6. Step 6: Final answer
    x = 26,998.14

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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.