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Finding the Fourth Proportional to 35,713.65, 49,284.57 and 19,580.77

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Solution

The fourth proportional to 35,713.65, 49,284.57 and 19,580.77 is: 27,021.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,713.65 : 49,284.57 = 19,580.77 : x
  2. Step 2: Convert to fraction form
    35,713.65/49,284.57 = 19,580.77/x
  3. Step 3: Cross multiply
    35,713.65x = 49,284.57 × 19,580.77
  4. Step 4: Simplify right side
    35,713.65x = 965,029,964.75
  5. Step 5: Solve for x
    x = 965,029,964.75/35,713.65
  6. Step 6: Final answer
    x = 27,021.32

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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.