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Finding the Fourth Proportional to 38,820.70, 58,231.05 and 24,823.90

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Solution

The fourth proportional to 38,820.70, 58,231.05 and 24,823.90 is: 37,235.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,820.70 : 58,231.05 = 24,823.90 : x
  2. Step 2: Convert to fraction form
    38,820.70/58,231.05 = 24,823.90/x
  3. Step 3: Cross multiply
    38,820.70x = 58,231.05 × 24,823.90
  4. Step 4: Simplify right side
    38,820.70x = 1,445,521,762.10
  5. Step 5: Solve for x
    x = 1,445,521,762.10/38,820.70
  6. Step 6: Final answer
    x = 37,235.85

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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.