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Finding the Fourth Proportional to 35,613.81, 49,146.35 and 19,697.85

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Solution

The fourth proportional to 35,613.81, 49,146.35 and 19,697.85 is: 27,182.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,613.81 : 49,146.35 = 19,697.85 : x
  2. Step 2: Convert to fraction form
    35,613.81/49,146.35 = 19,697.85/x
  3. Step 3: Cross multiply
    35,613.81x = 49,146.35 × 19,697.85
  4. Step 4: Simplify right side
    35,613.81x = 968,077,331.86
  5. Step 5: Solve for x
    x = 968,077,331.86/35,613.81
  6. Step 6: Final answer
    x = 27,182.64

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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.