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Finding the Fourth Proportional to 31,321.69, 46,981.62 and 11,599.81

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Solution

The fourth proportional to 31,321.69, 46,981.62 and 11,599.81 is: 17,399.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,321.69 : 46,981.62 = 11,599.81 : x
  2. Step 2: Convert to fraction form
    31,321.69/46,981.62 = 11,599.81/x
  3. Step 3: Cross multiply
    31,321.69x = 46,981.62 × 11,599.81
  4. Step 4: Simplify right side
    31,321.69x = 544,977,748.04
  5. Step 5: Solve for x
    x = 544,977,748.04/31,321.69
  6. Step 6: Final answer
    x = 17,399.37

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1.5x scale

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.