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Finding the Fourth Proportional to 31,297.58, 46,946.45 and 7,924.02

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Solution

The fourth proportional to 31,297.58, 46,946.45 and 7,924.02 is: 11,886.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,297.58 : 46,946.45 = 7,924.02 : x
  2. Step 2: Convert to fraction form
    31,297.58/46,946.45 = 7,924.02/x
  3. Step 3: Cross multiply
    31,297.58x = 46,946.45 × 7,924.02
  4. Step 4: Simplify right side
    31,297.58x = 372,004,608.73
  5. Step 5: Solve for x
    x = 372,004,608.73/31,297.58
  6. Step 6: Final answer
    x = 11,886.05

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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.