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Finding the Fourth Proportional to 104,096, 156,148.32 and 30,224

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Solution

The fourth proportional to 104,096, 156,148.32 and 30,224 is: 45,337.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,096 : 156,148.32 = 30,224 : x
  2. Step 2: Convert to fraction form
    104,096/156,148.32 = 30,224/x
  3. Step 3: Cross multiply
    104,096x = 156,148.32 × 30,224
  4. Step 4: Simplify right side
    104,096x = 4,719,426,823.68
  5. Step 5: Solve for x
    x = 4,719,426,823.68/104,096
  6. Step 6: Final answer
    x = 45,337.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.