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Finding the Fourth Proportional to 98,059.30, 146,949.90 and 41,071.81

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Solution

The fourth proportional to 98,059.30, 146,949.90 and 41,071.81 is: 61,549.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,059.30 : 146,949.90 = 41,071.81 : x
  2. Step 2: Convert to fraction form
    98,059.30/146,949.90 = 41,071.81/x
  3. Step 3: Cross multiply
    98,059.30x = 146,949.90 × 41,071.81
  4. Step 4: Simplify right side
    98,059.30x = 6,035,498,166.96
  5. Step 5: Solve for x
    x = 6,035,498,166.96/98,059.30
  6. Step 6: Final answer
    x = 61,549.47

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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.