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Finding the Fourth Proportional to 37,924.45, 52,313.64 and 24,307.64

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Solution

The fourth proportional to 37,924.45, 52,313.64 and 24,307.64 is: 33,530.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,924.45 : 52,313.64 = 24,307.64 : x
  2. Step 2: Convert to fraction form
    37,924.45/52,313.64 = 24,307.64/x
  3. Step 3: Cross multiply
    37,924.45x = 52,313.64 × 24,307.64
  4. Step 4: Simplify right side
    37,924.45x = 1,271,620,866.64
  5. Step 5: Solve for x
    x = 1,271,620,866.64/37,924.45
  6. Step 6: Final answer
    x = 33,530.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.