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Finding the Fourth Proportional to 25,546.40, 38,319.60 and 25,114.40

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Solution

The fourth proportional to 25,546.40, 38,319.60 and 25,114.40 is: 37,671.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,546.40 : 38,319.60 = 25,114.40 : x
  2. Step 2: Convert to fraction form
    25,546.40/38,319.60 = 25,114.40/x
  3. Step 3: Cross multiply
    25,546.40x = 38,319.60 × 25,114.40
  4. Step 4: Simplify right side
    25,546.40x = 962,373,762.24
  5. Step 5: Solve for x
    x = 962,373,762.24/25,546.40
  6. Step 6: Final answer
    x = 37,671.60

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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.