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Finding the Fourth Proportional to 36,495, 54,742.50 and 8,793

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Solution

The fourth proportional to 36,495, 54,742.50 and 8,793 is: 13,189.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,495 : 54,742.50 = 8,793 : x
  2. Step 2: Convert to fraction form
    36,495/54,742.50 = 8,793/x
  3. Step 3: Cross multiply
    36,495x = 54,742.50 × 8,793
  4. Step 4: Simplify right side
    36,495x = 481,350,802.50
  5. Step 5: Solve for x
    x = 481,350,802.50/36,495
  6. Step 6: Final answer
    x = 13,189.50

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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.