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Finding the Fourth Proportional to 31,004.31, 46,506.65 and 7,630.59

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Solution

The fourth proportional to 31,004.31, 46,506.65 and 7,630.59 is: 11,445.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,004.31 : 46,506.65 = 7,630.59 : x
  2. Step 2: Convert to fraction form
    31,004.31/46,506.65 = 7,630.59/x
  3. Step 3: Cross multiply
    31,004.31x = 46,506.65 × 7,630.59
  4. Step 4: Simplify right side
    31,004.31x = 354,873,140.27
  5. Step 5: Solve for x
    x = 354,873,140.27/31,004.31
  6. Step 6: Final answer
    x = 11,445.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.