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Finding the Fourth Proportional to 130,411.32, 195,499.62 and 47,247

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Solution

The fourth proportional to 130,411.32, 195,499.62 and 47,247 is: 70,827.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,411.32 : 195,499.62 = 47,247 : x
  2. Step 2: Convert to fraction form
    130,411.32/195,499.62 = 47,247/x
  3. Step 3: Cross multiply
    130,411.32x = 195,499.62 × 47,247
  4. Step 4: Simplify right side
    130,411.32x = 9,236,770,546.14
  5. Step 5: Solve for x
    x = 9,236,770,546.14/130,411.32
  6. Step 6: Final answer
    x = 70,827.98

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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.