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Finding the Fourth Proportional to 35,678.60, 49,189.79 and 30,696.34

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Solution

The fourth proportional to 35,678.60, 49,189.79 and 30,696.34 is: 42,320.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,678.60 : 49,189.79 = 30,696.34 : x
  2. Step 2: Convert to fraction form
    35,678.60/49,189.79 = 30,696.34/x
  3. Step 3: Cross multiply
    35,678.60x = 49,189.79 × 30,696.34
  4. Step 4: Simplify right side
    35,678.60x = 1,509,946,118.94
  5. Step 5: Solve for x
    x = 1,509,946,118.94/35,678.60
  6. Step 6: Final answer
    x = 42,320.78

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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.