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Finding the Fourth Proportional to 46,584.38, 64,326.40 and 45,078.02

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Solution

The fourth proportional to 46,584.38, 64,326.40 and 45,078.02 is: 62,246.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,584.38 : 64,326.40 = 45,078.02 : x
  2. Step 2: Convert to fraction form
    46,584.38/64,326.40 = 45,078.02/x
  3. Step 3: Cross multiply
    46,584.38x = 64,326.40 × 45,078.02
  4. Step 4: Simplify right side
    46,584.38x = 2,899,706,745.73
  5. Step 5: Solve for x
    x = 2,899,706,745.73/46,584.38
  6. Step 6: Final answer
    x = 62,246.33

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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.