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Finding the Fourth Proportional to 26,050, 39,051.06 and 9,406.12

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Solution

The fourth proportional to 26,050, 39,051.06 and 9,406.12 is: 14,100.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,050 : 39,051.06 = 9,406.12 : x
  2. Step 2: Convert to fraction form
    26,050/39,051.06 = 9,406.12/x
  3. Step 3: Cross multiply
    26,050x = 39,051.06 × 9,406.12
  4. Step 4: Simplify right side
    26,050x = 367,318,956.49
  5. Step 5: Solve for x
    x = 367,318,956.49/26,050
  6. Step 6: Final answer
    x = 14,100.54

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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.