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Finding the Fourth Proportional to 35,574.75, 49,088.97 and 19,658.25

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Solution

The fourth proportional to 35,574.75, 49,088.97 and 19,658.25 is: 27,126.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,574.75 : 49,088.97 = 19,658.25 : x
  2. Step 2: Convert to fraction form
    35,574.75/49,088.97 = 19,658.25/x
  3. Step 3: Cross multiply
    35,574.75x = 49,088.97 × 19,658.25
  4. Step 4: Simplify right side
    35,574.75x = 965,003,189.32
  5. Step 5: Solve for x
    x = 965,003,189.32/35,574.75
  6. Step 6: Final answer
    x = 27,126.07

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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.