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Finding the Fourth Proportional to 30,991.70, 46,487.13 and 7,618.34

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Solution

The fourth proportional to 30,991.70, 46,487.13 and 7,618.34 is: 11,427.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,991.70 : 46,487.13 = 7,618.34 : x
  2. Step 2: Convert to fraction form
    30,991.70/46,487.13 = 7,618.34/x
  3. Step 3: Cross multiply
    30,991.70x = 46,487.13 × 7,618.34
  4. Step 4: Simplify right side
    30,991.70x = 354,154,529.53
  5. Step 5: Solve for x
    x = 354,154,529.53/30,991.70
  6. Step 6: Final answer
    x = 11,427.40

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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.