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Finding the Fourth Proportional to 25,845.40, 38,825.70 and 24,795.80

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Solution

The fourth proportional to 25,845.40, 38,825.70 and 24,795.80 is: 37,248.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,845.40 : 38,825.70 = 24,795.80 : x
  2. Step 2: Convert to fraction form
    25,845.40/38,825.70 = 24,795.80/x
  3. Step 3: Cross multiply
    25,845.40x = 38,825.70 × 24,795.80
  4. Step 4: Simplify right side
    25,845.40x = 962,714,292.06
  5. Step 5: Solve for x
    x = 962,714,292.06/25,845.40
  6. Step 6: Final answer
    x = 37,248.96

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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.