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Finding the Fourth Proportional to 31,233.77, 46,858.16 and 9,048.68

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Solution

The fourth proportional to 31,233.77, 46,858.16 and 9,048.68 is: 13,575.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,233.77 : 46,858.16 = 9,048.68 : x
  2. Step 2: Convert to fraction form
    31,233.77/46,858.16 = 9,048.68/x
  3. Step 3: Cross multiply
    31,233.77x = 46,858.16 × 9,048.68
  4. Step 4: Simplify right side
    31,233.77x = 424,004,495.23
  5. Step 5: Solve for x
    x = 424,004,495.23/31,233.77
  6. Step 6: Final answer
    x = 13,575.19

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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.