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Finding the Fourth Proportional to 31,137.73, 46,701.54 and 8,946.07

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Solution

The fourth proportional to 31,137.73, 46,701.54 and 8,946.07 is: 13,417.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,137.73 : 46,701.54 = 8,946.07 : x
  2. Step 2: Convert to fraction form
    31,137.73/46,701.54 = 8,946.07/x
  3. Step 3: Cross multiply
    31,137.73x = 46,701.54 × 8,946.07
  4. Step 4: Simplify right side
    31,137.73x = 417,795,245.95
  5. Step 5: Solve for x
    x = 417,795,245.95/31,137.73
  6. Step 6: Final answer
    x = 13,417.65

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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.