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Finding the Fourth Proportional to 70,907.26, 97,854.07 and 39,078.21

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Solution

The fourth proportional to 70,907.26, 97,854.07 and 39,078.21 is: 53,929.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,907.26 : 97,854.07 = 39,078.21 : x
  2. Step 2: Convert to fraction form
    70,907.26/97,854.07 = 39,078.21/x
  3. Step 3: Cross multiply
    70,907.26x = 97,854.07 × 39,078.21
  4. Step 4: Simplify right side
    70,907.26x = 3,823,961,896.81
  5. Step 5: Solve for x
    x = 3,823,961,896.81/70,907.26
  6. Step 6: Final answer
    x = 53,929.06

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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.