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Finding the Fourth Proportional to 98,051.50, 147,099.12 and 35,722

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Solution

The fourth proportional to 98,051.50, 147,099.12 and 35,722 is: 53,590.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,051.50 : 147,099.12 = 35,722 : x
  2. Step 2: Convert to fraction form
    98,051.50/147,099.12 = 35,722/x
  3. Step 3: Cross multiply
    98,051.50x = 147,099.12 × 35,722
  4. Step 4: Simplify right side
    98,051.50x = 5,254,674,764.64
  5. Step 5: Solve for x
    x = 5,254,674,764.64/98,051.50
  6. Step 6: Final answer
    x = 53,590.97

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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.