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Finding the Fourth Proportional to 84,408, 116,486.70 and 46,682.28

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Solution

The fourth proportional to 84,408, 116,486.70 and 46,682.28 is: 64,423.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,408 : 116,486.70 = 46,682.28 : x
  2. Step 2: Convert to fraction form
    84,408/116,486.70 = 46,682.28/x
  3. Step 3: Cross multiply
    84,408x = 116,486.70 × 46,682.28
  4. Step 4: Simplify right side
    84,408x = 5,437,864,745.68
  5. Step 5: Solve for x
    x = 5,437,864,745.68/84,408
  6. Step 6: Final answer
    x = 64,423.57

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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.