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Finding the Fourth Proportional to 31,004.44, 46,505.75 and 9,943.63

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Solution

The fourth proportional to 31,004.44, 46,505.75 and 9,943.63 is: 14,915.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,004.44 : 46,505.75 = 9,943.63 : x
  2. Step 2: Convert to fraction form
    31,004.44/46,505.75 = 9,943.63/x
  3. Step 3: Cross multiply
    31,004.44x = 46,505.75 × 9,943.63
  4. Step 4: Simplify right side
    31,004.44x = 462,435,804.89
  5. Step 5: Solve for x
    x = 462,435,804.89/31,004.44
  6. Step 6: Final answer
    x = 14,915.15

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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.