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Finding the Fourth Proportional to 26,078.50, 39,114.98 and 7,358.04

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Solution

The fourth proportional to 26,078.50, 39,114.98 and 7,358.04 is: 11,036.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,078.50 : 39,114.98 = 7,358.04 : x
  2. Step 2: Convert to fraction form
    26,078.50/39,114.98 = 7,358.04/x
  3. Step 3: Cross multiply
    26,078.50x = 39,114.98 × 7,358.04
  4. Step 4: Simplify right side
    26,078.50x = 287,809,587.44
  5. Step 5: Solve for x
    x = 287,809,587.44/26,078.50
  6. Step 6: Final answer
    x = 11,036.28

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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.