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Finding the Fourth Proportional to 38,773.56, 58,193.46 and 15,416.40

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Solution

The fourth proportional to 38,773.56, 58,193.46 and 15,416.40 is: 23,137.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,773.56 : 58,193.46 = 15,416.40 : x
  2. Step 2: Convert to fraction form
    38,773.56/58,193.46 = 15,416.40/x
  3. Step 3: Cross multiply
    38,773.56x = 58,193.46 × 15,416.40
  4. Step 4: Simplify right side
    38,773.56x = 897,133,656.74
  5. Step 5: Solve for x
    x = 897,133,656.74/38,773.56
  6. Step 6: Final answer
    x = 23,137.77

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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.