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Finding the Fourth Proportional to 35,678.10, 49,189.10 and 30,695.84

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Solution

The fourth proportional to 35,678.10, 49,189.10 and 30,695.84 is: 42,320.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,678.10 : 49,189.10 = 30,695.84 : x
  2. Step 2: Convert to fraction form
    35,678.10/49,189.10 = 30,695.84/x
  3. Step 3: Cross multiply
    35,678.10x = 49,189.10 × 30,695.84
  4. Step 4: Simplify right side
    35,678.10x = 1,509,900,343.92
  5. Step 5: Solve for x
    x = 1,509,900,343.92/35,678.10
  6. Step 6: Final answer
    x = 42,320.09

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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.