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Finding the Fourth Proportional to 38,820.20, 58,230.30 and 24,823.40

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Solution

The fourth proportional to 38,820.20, 58,230.30 and 24,823.40 is: 37,235.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,820.20 : 58,230.30 = 24,823.40 : x
  2. Step 2: Convert to fraction form
    38,820.20/58,230.30 = 24,823.40/x
  3. Step 3: Cross multiply
    38,820.20x = 58,230.30 × 24,823.40
  4. Step 4: Simplify right side
    38,820.20x = 1,445,474,029.02
  5. Step 5: Solve for x
    x = 1,445,474,029.02/38,820.20
  6. Step 6: Final answer
    x = 37,235.10

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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.