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Finding the Fourth Proportional to 38,366.76, 52,956 and 34,380.96

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Solution

The fourth proportional to 38,366.76, 52,956 and 34,380.96 is: 47,454.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,366.76 : 52,956 = 34,380.96 : x
  2. Step 2: Convert to fraction form
    38,366.76/52,956 = 34,380.96/x
  3. Step 3: Cross multiply
    38,366.76x = 52,956 × 34,380.96
  4. Step 4: Simplify right side
    38,366.76x = 1,820,678,117.76
  5. Step 5: Solve for x
    x = 1,820,678,117.76/38,366.76
  6. Step 6: Final answer
    x = 47,454.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.