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Finding the Fourth Proportional to 36,533.67, 54,779.67 and 11,580

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Solution

The fourth proportional to 36,533.67, 54,779.67 and 11,580 is: 17,363.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,533.67 : 54,779.67 = 11,580 : x
  2. Step 2: Convert to fraction form
    36,533.67/54,779.67 = 11,580/x
  3. Step 3: Cross multiply
    36,533.67x = 54,779.67 × 11,580
  4. Step 4: Simplify right side
    36,533.67x = 634,348,578.60
  5. Step 5: Solve for x
    x = 634,348,578.60/36,533.67
  6. Step 6: Final answer
    x = 17,363.40

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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.