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Finding the Fourth Proportional to 82,434.44, 113,759.55 and 46,623.69

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Solution

The fourth proportional to 82,434.44, 113,759.55 and 46,623.69 is: 64,340.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,434.44 : 113,759.55 = 46,623.69 : x
  2. Step 2: Convert to fraction form
    82,434.44/113,759.55 = 46,623.69/x
  3. Step 3: Cross multiply
    82,434.44x = 113,759.55 × 46,623.69
  4. Step 4: Simplify right side
    82,434.44x = 5,303,889,993.74
  5. Step 5: Solve for x
    x = 5,303,889,993.74/82,434.44
  6. Step 6: Final answer
    x = 64,340.70

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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.