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Finding the Fourth Proportional to 31,079.84, 46,292.47 and 30,431.84

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Solution

The fourth proportional to 31,079.84, 46,292.47 and 30,431.84 is: 45,327.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,079.84 : 46,292.47 = 30,431.84 : x
  2. Step 2: Convert to fraction form
    31,079.84/46,292.47 = 30,431.84/x
  3. Step 3: Cross multiply
    31,079.84x = 46,292.47 × 30,431.84
  4. Step 4: Simplify right side
    31,079.84x = 1,408,765,040.24
  5. Step 5: Solve for x
    x = 1,408,765,040.24/31,079.84
  6. Step 6: Final answer
    x = 45,327.29

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.