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Finding the Fourth Proportional to 59,408.48, 81,966.12 and 33,914

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Solution

The fourth proportional to 59,408.48, 81,966.12 and 33,914 is: 46,791.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,408.48 : 81,966.12 = 33,914 : x
  2. Step 2: Convert to fraction form
    59,408.48/81,966.12 = 33,914/x
  3. Step 3: Cross multiply
    59,408.48x = 81,966.12 × 33,914
  4. Step 4: Simplify right side
    59,408.48x = 2,779,798,993.68
  5. Step 5: Solve for x
    x = 2,779,798,993.68/59,408.48
  6. Step 6: Final answer
    x = 46,791.28

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1.5x scale

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.