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Finding the Fourth Proportional to 98,512.96, 147,771.54 and 35,337.28

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Solution

The fourth proportional to 98,512.96, 147,771.54 and 35,337.28 is: 53,006.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,512.96 : 147,771.54 = 35,337.28 : x
  2. Step 2: Convert to fraction form
    98,512.96/147,771.54 = 35,337.28/x
  3. Step 3: Cross multiply
    98,512.96x = 147,771.54 × 35,337.28
  4. Step 4: Simplify right side
    98,512.96x = 5,221,844,285.01
  5. Step 5: Solve for x
    x = 5,221,844,285.01/98,512.96
  6. Step 6: Final answer
    x = 53,006.67

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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.