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Finding the Fourth Proportional to 98,030, 146,995.32 and 41,861.36

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Solution

The fourth proportional to 98,030, 146,995.32 and 41,861.36 is: 62,770.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,030 : 146,995.32 = 41,861.36 : x
  2. Step 2: Convert to fraction form
    98,030/146,995.32 = 41,861.36/x
  3. Step 3: Cross multiply
    98,030x = 146,995.32 × 41,861.36
  4. Step 4: Simplify right side
    98,030x = 6,153,424,008.84
  5. Step 5: Solve for x
    x = 6,153,424,008.84/98,030
  6. Step 6: Final answer
    x = 62,770.83

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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.