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Finding the Fourth Proportional to 30,889.60, 46,334.40 and 10,115.20

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Solution

The fourth proportional to 30,889.60, 46,334.40 and 10,115.20 is: 15,172.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,889.60 : 46,334.40 = 10,115.20 : x
  2. Step 2: Convert to fraction form
    30,889.60/46,334.40 = 10,115.20/x
  3. Step 3: Cross multiply
    30,889.60x = 46,334.40 × 10,115.20
  4. Step 4: Simplify right side
    30,889.60x = 468,681,722.88
  5. Step 5: Solve for x
    x = 468,681,722.88/30,889.60
  6. Step 6: Final answer
    x = 15,172.80

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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.