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Finding the Fourth Proportional to 31,283.40, 46,918.06 and 9,096.52

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Solution

The fourth proportional to 31,283.40, 46,918.06 and 9,096.52 is: 13,642.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,283.40 : 46,918.06 = 9,096.52 : x
  2. Step 2: Convert to fraction form
    31,283.40/46,918.06 = 9,096.52/x
  3. Step 3: Cross multiply
    31,283.40x = 46,918.06 × 9,096.52
  4. Step 4: Simplify right side
    31,283.40x = 426,791,071.15
  5. Step 5: Solve for x
    x = 426,791,071.15/31,283.40
  6. Step 6: Final answer
    x = 13,642.73

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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.