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Finding the Fourth Proportional to 97,969.54, 147,019.71 and 35,640.04

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Solution

The fourth proportional to 97,969.54, 147,019.71 and 35,640.04 is: 53,483.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,969.54 : 147,019.71 = 35,640.04 : x
  2. Step 2: Convert to fraction form
    97,969.54/147,019.71 = 35,640.04/x
  3. Step 3: Cross multiply
    97,969.54x = 147,019.71 × 35,640.04
  4. Step 4: Simplify right side
    97,969.54x = 5,239,787,610.09
  5. Step 5: Solve for x
    x = 5,239,787,610.09/97,969.54
  6. Step 6: Final answer
    x = 53,483.85

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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.