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Finding the Fourth Proportional to 46,513.62, 69,770.46 and 38,272.32

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Solution

The fourth proportional to 46,513.62, 69,770.46 and 38,272.32 is: 57,408.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,513.62 : 69,770.46 = 38,272.32 : x
  2. Step 2: Convert to fraction form
    46,513.62/69,770.46 = 38,272.32/x
  3. Step 3: Cross multiply
    46,513.62x = 69,770.46 × 38,272.32
  4. Step 4: Simplify right side
    46,513.62x = 2,670,277,371.67
  5. Step 5: Solve for x
    x = 2,670,277,371.67/46,513.62
  6. Step 6: Final answer
    x = 57,408.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.