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Finding the Fourth Proportional to 94,760.80, 142,102.80 and 32,399.20

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Solution

The fourth proportional to 94,760.80, 142,102.80 and 32,399.20 is: 48,585.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,760.80 : 142,102.80 = 32,399.20 : x
  2. Step 2: Convert to fraction form
    94,760.80/142,102.80 = 32,399.20/x
  3. Step 3: Cross multiply
    94,760.80x = 142,102.80 × 32,399.20
  4. Step 4: Simplify right side
    94,760.80x = 4,604,017,037.76
  5. Step 5: Solve for x
    x = 4,604,017,037.76/94,760.80
  6. Step 6: Final answer
    x = 48,585.67

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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.