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Finding the Fourth Proportional to 106,504.84, 159,729.85 and 31,607.25

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Solution

The fourth proportional to 106,504.84, 159,729.85 and 31,607.25 is: 47,402.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,504.84 : 159,729.85 = 31,607.25 : x
  2. Step 2: Convert to fraction form
    106,504.84/159,729.85 = 31,607.25/x
  3. Step 3: Cross multiply
    106,504.84x = 159,729.85 × 31,607.25
  4. Step 4: Simplify right side
    106,504.84x = 5,048,621,301.41
  5. Step 5: Solve for x
    x = 5,048,621,301.41/106,504.84
  6. Step 6: Final answer
    x = 47,402.74

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Why These Related Problems?

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