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Finding the Fourth Proportional to 36,503.16, 54,764.46 and 11,543.82

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Solution

The fourth proportional to 36,503.16, 54,764.46 and 11,543.82 is: 17,318.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,503.16 : 54,764.46 = 11,543.82 : x
  2. Step 2: Convert to fraction form
    36,503.16/54,764.46 = 11,543.82/x
  3. Step 3: Cross multiply
    36,503.16x = 54,764.46 × 11,543.82
  4. Step 4: Simplify right side
    36,503.16x = 632,191,068.64
  5. Step 5: Solve for x
    x = 632,191,068.64/36,503.16
  6. Step 6: Final answer
    x = 17,318.80

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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.