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Finding the Fourth Proportional to 31,237.64, 46,856 and 7,544.99

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Solution

The fourth proportional to 31,237.64, 46,856 and 7,544.99 is: 11,317.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,237.64 : 46,856 = 7,544.99 : x
  2. Step 2: Convert to fraction form
    31,237.64/46,856 = 7,544.99/x
  3. Step 3: Cross multiply
    31,237.64x = 46,856 × 7,544.99
  4. Step 4: Simplify right side
    31,237.64x = 353,528,051.44
  5. Step 5: Solve for x
    x = 353,528,051.44/31,237.64
  6. Step 6: Final answer
    x = 11,317.37

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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.