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Finding the Fourth Proportional to 37,885.40, 56,826.04 and 11,590.14

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Solution

The fourth proportional to 37,885.40, 56,826.04 and 11,590.14 is: 17,384.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,885.40 : 56,826.04 = 11,590.14 : x
  2. Step 2: Convert to fraction form
    37,885.40/56,826.04 = 11,590.14/x
  3. Step 3: Cross multiply
    37,885.40x = 56,826.04 × 11,590.14
  4. Step 4: Simplify right side
    37,885.40x = 658,621,759.25
  5. Step 5: Solve for x
    x = 658,621,759.25/37,885.40
  6. Step 6: Final answer
    x = 17,384.58

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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.