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Finding the Fourth Proportional to 30,792.48, 46,194.78 and 9,735.72

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Solution

The fourth proportional to 30,792.48, 46,194.78 and 9,735.72 is: 14,605.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,792.48 : 46,194.78 = 9,735.72 : x
  2. Step 2: Convert to fraction form
    30,792.48/46,194.78 = 9,735.72/x
  3. Step 3: Cross multiply
    30,792.48x = 46,194.78 × 9,735.72
  4. Step 4: Simplify right side
    30,792.48x = 449,739,443.54
  5. Step 5: Solve for x
    x = 449,739,443.54/30,792.48
  6. Step 6: Final answer
    x = 14,605.50

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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.