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Finding the Fourth Proportional to 35,613, 49,145.13 and 19,697.58

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Solution

The fourth proportional to 35,613, 49,145.13 and 19,697.58 is: 27,182.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,613 : 49,145.13 = 19,697.58 : x
  2. Step 2: Convert to fraction form
    35,613/49,145.13 = 19,697.58/x
  3. Step 3: Cross multiply
    35,613x = 49,145.13 × 19,697.58
  4. Step 4: Simplify right side
    35,613x = 968,040,129.79
  5. Step 5: Solve for x
    x = 968,040,129.79/35,613
  6. Step 6: Final answer
    x = 27,182.21

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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.