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Finding the Fourth Proportional to 71,038.70, 98,033.21 and 39,207.38

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Solution

The fourth proportional to 71,038.70, 98,033.21 and 39,207.38 is: 54,106.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,038.70 : 98,033.21 = 39,207.38 : x
  2. Step 2: Convert to fraction form
    71,038.70/98,033.21 = 39,207.38/x
  3. Step 3: Cross multiply
    71,038.70x = 98,033.21 × 39,207.38
  4. Step 4: Simplify right side
    71,038.70x = 3,843,624,851.43
  5. Step 5: Solve for x
    x = 3,843,624,851.43/71,038.70
  6. Step 6: Final answer
    x = 54,106.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.