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Finding the Fourth Proportional to 30,905.50, 46,366.02 and 14,277.29

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Solution

The fourth proportional to 30,905.50, 46,366.02 and 14,277.29 is: 21,419.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,905.50 : 46,366.02 = 14,277.29 : x
  2. Step 2: Convert to fraction form
    30,905.50/46,366.02 = 14,277.29/x
  3. Step 3: Cross multiply
    30,905.50x = 46,366.02 × 14,277.29
  4. Step 4: Simplify right side
    30,905.50x = 661,981,113.69
  5. Step 5: Solve for x
    x = 661,981,113.69/30,905.50
  6. Step 6: Final answer
    x = 21,419.52

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