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Finding the Fourth Proportional to 35,696.24, 49,259.57 and 19,782.17

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Solution

The fourth proportional to 35,696.24, 49,259.57 and 19,782.17 is: 27,298.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,696.24 : 49,259.57 = 19,782.17 : x
  2. Step 2: Convert to fraction form
    35,696.24/49,259.57 = 19,782.17/x
  3. Step 3: Cross multiply
    35,696.24x = 49,259.57 × 19,782.17
  4. Step 4: Simplify right side
    35,696.24x = 974,460,842.66
  5. Step 5: Solve for x
    x = 974,460,842.66/35,696.24
  6. Step 6: Final answer
    x = 27,298.70

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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.