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Finding the Fourth Proportional to 30,906.16, 46,340.10 and 21,015.45

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Solution

The fourth proportional to 30,906.16, 46,340.10 and 21,015.45 is: 31,510.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,906.16 : 46,340.10 = 21,015.45 : x
  2. Step 2: Convert to fraction form
    30,906.16/46,340.10 = 21,015.45/x
  3. Step 3: Cross multiply
    30,906.16x = 46,340.10 × 21,015.45
  4. Step 4: Simplify right side
    30,906.16x = 973,858,054.55
  5. Step 5: Solve for x
    x = 973,858,054.55/30,906.16
  6. Step 6: Final answer
    x = 31,510.16

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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.