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Finding the Fourth Proportional to 26,768.58, 40,154.84 and 7,047

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Solution

The fourth proportional to 26,768.58, 40,154.84 and 7,047 is: 10,571.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,768.58 : 40,154.84 = 7,047 : x
  2. Step 2: Convert to fraction form
    26,768.58/40,154.84 = 7,047/x
  3. Step 3: Cross multiply
    26,768.58x = 40,154.84 × 7,047
  4. Step 4: Simplify right side
    26,768.58x = 282,971,148.67
  5. Step 5: Solve for x
    x = 282,971,148.67/26,768.58
  6. Step 6: Final answer
    x = 10,571.02

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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.