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Finding the Fourth Proportional to 24,581.58, 36,872.52 and 7,051.46

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Solution

The fourth proportional to 24,581.58, 36,872.52 and 7,051.46 is: 10,577.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,581.58 : 36,872.52 = 7,051.46 : x
  2. Step 2: Convert to fraction form
    24,581.58/36,872.52 = 7,051.46/x
  3. Step 3: Cross multiply
    24,581.58x = 36,872.52 × 7,051.46
  4. Step 4: Simplify right side
    24,581.58x = 260,004,889.07
  5. Step 5: Solve for x
    x = 260,004,889.07/24,581.58
  6. Step 6: Final answer
    x = 10,577.23

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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.