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Finding the Fourth Proportional to 31,302.36, 46,955.25 and 7,929

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Solution

The fourth proportional to 31,302.36, 46,955.25 and 7,929 is: 11,893.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,302.36 : 46,955.25 = 7,929 : x
  2. Step 2: Convert to fraction form
    31,302.36/46,955.25 = 7,929/x
  3. Step 3: Cross multiply
    31,302.36x = 46,955.25 × 7,929
  4. Step 4: Simplify right side
    31,302.36x = 372,308,177.25
  5. Step 5: Solve for x
    x = 372,308,177.25/31,302.36
  6. Step 6: Final answer
    x = 11,893.93

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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.