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Finding the Fourth Proportional to 36,506.78, 54,768.98 and 10,211.15

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Solution

The fourth proportional to 36,506.78, 54,768.98 and 10,211.15 is: 15,319.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,506.78 : 54,768.98 = 10,211.15 : x
  2. Step 2: Convert to fraction form
    36,506.78/54,768.98 = 10,211.15/x
  3. Step 3: Cross multiply
    36,506.78x = 54,768.98 × 10,211.15
  4. Step 4: Simplify right side
    36,506.78x = 559,254,021.81
  5. Step 5: Solve for x
    x = 559,254,021.81/36,506.78
  6. Step 6: Final answer
    x = 15,319.18

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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.