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Finding the Fourth Proportional to 38,657.20, 57,985.80 and 32,825.20

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Solution

The fourth proportional to 38,657.20, 57,985.80 and 32,825.20 is: 49,237.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,657.20 : 57,985.80 = 32,825.20 : x
  2. Step 2: Convert to fraction form
    38,657.20/57,985.80 = 32,825.20/x
  3. Step 3: Cross multiply
    38,657.20x = 57,985.80 × 32,825.20
  4. Step 4: Simplify right side
    38,657.20x = 1,903,395,482.16
  5. Step 5: Solve for x
    x = 1,903,395,482.16/38,657.20
  6. Step 6: Final answer
    x = 49,237.80

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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.