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Finding the Fourth Proportional to 30,800.70, 46,193.76 and 14,150.34

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Solution

The fourth proportional to 30,800.70, 46,193.76 and 14,150.34 is: 21,222.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,800.70 : 46,193.76 = 14,150.34 : x
  2. Step 2: Convert to fraction form
    30,800.70/46,193.76 = 14,150.34/x
  3. Step 3: Cross multiply
    30,800.70x = 46,193.76 × 14,150.34
  4. Step 4: Simplify right side
    30,800.70x = 653,657,409.88
  5. Step 5: Solve for x
    x = 653,657,409.88/30,800.70
  6. Step 6: Final answer
    x = 21,222.16

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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.