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Finding the Fourth Proportional to 30,809.73, 46,220.31 and 9,755.10

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Solution

The fourth proportional to 30,809.73, 46,220.31 and 9,755.10 is: 14,634.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,809.73 : 46,220.31 = 9,755.10 : x
  2. Step 2: Convert to fraction form
    30,809.73/46,220.31 = 9,755.10/x
  3. Step 3: Cross multiply
    30,809.73x = 46,220.31 × 9,755.10
  4. Step 4: Simplify right side
    30,809.73x = 450,883,746.08
  5. Step 5: Solve for x
    x = 450,883,746.08/30,809.73
  6. Step 6: Final answer
    x = 14,634.46

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Double scale
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1.5x scale

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.