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Finding the Fourth Proportional to 30,755.97, 46,098.11 and 14,117.76

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Solution

The fourth proportional to 30,755.97, 46,098.11 and 14,117.76 is: 21,160.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,755.97 : 46,098.11 = 14,117.76 : x
  2. Step 2: Convert to fraction form
    30,755.97/46,098.11 = 14,117.76/x
  3. Step 3: Cross multiply
    30,755.97x = 46,098.11 × 14,117.76
  4. Step 4: Simplify right side
    30,755.97x = 650,802,088.73
  5. Step 5: Solve for x
    x = 650,802,088.73/30,755.97
  6. Step 6: Final answer
    x = 21,160.19

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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.