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Finding the Fourth Proportional to 66,463.84, 91,716.44 and 37,779.51

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Solution

The fourth proportional to 66,463.84, 91,716.44 and 37,779.51 is: 52,133.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,463.84 : 91,716.44 = 37,779.51 : x
  2. Step 2: Convert to fraction form
    66,463.84/91,716.44 = 37,779.51/x
  3. Step 3: Cross multiply
    66,463.84x = 91,716.44 × 37,779.51
  4. Step 4: Simplify right side
    66,463.84x = 3,465,002,162.14
  5. Step 5: Solve for x
    x = 3,465,002,162.14/66,463.84
  6. Step 6: Final answer
    x = 52,133.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.