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Finding the Fourth Proportional to 97,969.32, 147,019.43 and 35,639.82

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Solution

The fourth proportional to 97,969.32, 147,019.43 and 35,639.82 is: 53,483.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,969.32 : 147,019.43 = 35,639.82 : x
  2. Step 2: Convert to fraction form
    97,969.32/147,019.43 = 35,639.82/x
  3. Step 3: Cross multiply
    97,969.32x = 147,019.43 × 35,639.82
  4. Step 4: Simplify right side
    97,969.32x = 5,239,746,021.70
  5. Step 5: Solve for x
    x = 5,239,746,021.70/97,969.32
  6. Step 6: Final answer
    x = 53,483.54

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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.