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Finding the Fourth Proportional to 98,720.66, 148,096.78 and 32,155.67

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Solution

The fourth proportional to 98,720.66, 148,096.78 and 32,155.67 is: 48,238.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,720.66 : 148,096.78 = 32,155.67 : x
  2. Step 2: Convert to fraction form
    98,720.66/148,096.78 = 32,155.67/x
  3. Step 3: Cross multiply
    98,720.66x = 148,096.78 × 32,155.67
  4. Step 4: Simplify right side
    98,720.66x = 4,762,150,364.87
  5. Step 5: Solve for x
    x = 4,762,150,364.87/98,720.66
  6. Step 6: Final answer
    x = 48,238.64

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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.