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Finding the Fourth Proportional to 30,812.70, 46,219.05 and 22,356.30

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Solution

The fourth proportional to 30,812.70, 46,219.05 and 22,356.30 is: 33,534.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,812.70 : 46,219.05 = 22,356.30 : x
  2. Step 2: Convert to fraction form
    30,812.70/46,219.05 = 22,356.30/x
  3. Step 3: Cross multiply
    30,812.70x = 46,219.05 × 22,356.30
  4. Step 4: Simplify right side
    30,812.70x = 1,033,286,947.52
  5. Step 5: Solve for x
    x = 1,033,286,947.52/30,812.70
  6. Step 6: Final answer
    x = 33,534.45

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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.