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Finding the Fourth Proportional to 47,634, 65,736.75 and 26,412.81

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Solution

The fourth proportional to 47,634, 65,736.75 and 26,412.81 is: 36,450.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,634 : 65,736.75 = 26,412.81 : x
  2. Step 2: Convert to fraction form
    47,634/65,736.75 = 26,412.81/x
  3. Step 3: Cross multiply
    47,634x = 65,736.75 × 26,412.81
  4. Step 4: Simplify right side
    47,634x = 1,736,292,287.77
  5. Step 5: Solve for x
    x = 1,736,292,287.77/47,634
  6. Step 6: Final answer
    x = 36,450.69

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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.