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Finding the Fourth Proportional to 98,326, 147,476.44 and 31,759.21

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Solution

The fourth proportional to 98,326, 147,476.44 and 31,759.21 is: 47,634.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,326 : 147,476.44 = 31,759.21 : x
  2. Step 2: Convert to fraction form
    98,326/147,476.44 = 31,759.21/x
  3. Step 3: Cross multiply
    98,326x = 147,476.44 × 31,759.21
  4. Step 4: Simplify right side
    98,326x = 4,683,735,228.01
  5. Step 5: Solve for x
    x = 4,683,735,228.01/98,326
  6. Step 6: Final answer
    x = 47,634.76

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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.