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Finding the Fourth Proportional to 35,696.34, 49,259.61 and 19,780.38

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Solution

The fourth proportional to 35,696.34, 49,259.61 and 19,780.38 is: 27,296.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,696.34 : 49,259.61 = 19,780.38 : x
  2. Step 2: Convert to fraction form
    35,696.34/49,259.61 = 19,780.38/x
  3. Step 3: Cross multiply
    35,696.34x = 49,259.61 × 19,780.38
  4. Step 4: Simplify right side
    35,696.34x = 974,373,804.45
  5. Step 5: Solve for x
    x = 974,373,804.45/35,696.34
  6. Step 6: Final answer
    x = 27,296.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.