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Finding the Fourth Proportional to 46,408.13, 64,044.17 and 26,265

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Solution

The fourth proportional to 46,408.13, 64,044.17 and 26,265 is: 36,246.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,408.13 : 64,044.17 = 26,265 : x
  2. Step 2: Convert to fraction form
    46,408.13/64,044.17 = 26,265/x
  3. Step 3: Cross multiply
    46,408.13x = 64,044.17 × 26,265
  4. Step 4: Simplify right side
    46,408.13x = 1,682,119,993.73
  5. Step 5: Solve for x
    x = 1,682,119,993.73/46,408.13
  6. Step 6: Final answer
    x = 36,246.24

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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.