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Finding the Fourth Proportional to 36,024.87, 54,030 and 9,723.45

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Solution

The fourth proportional to 36,024.87, 54,030 and 9,723.45 is: 14,583.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,024.87 : 54,030 = 9,723.45 : x
  2. Step 2: Convert to fraction form
    36,024.87/54,030 = 9,723.45/x
  3. Step 3: Cross multiply
    36,024.87x = 54,030 × 9,723.45
  4. Step 4: Simplify right side
    36,024.87x = 525,358,003.50
  5. Step 5: Solve for x
    x = 525,358,003.50/36,024.87
  6. Step 6: Final answer
    x = 14,583.20

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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.