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Finding the Fourth Proportional to 62,164.16, 93,124.16 and 41,039.84

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Solution

The fourth proportional to 62,164.16, 93,124.16 and 41,039.84 is: 61,479.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,164.16 : 93,124.16 = 41,039.84 : x
  2. Step 2: Convert to fraction form
    62,164.16/93,124.16 = 41,039.84/x
  3. Step 3: Cross multiply
    62,164.16x = 93,124.16 × 41,039.84
  4. Step 4: Simplify right side
    62,164.16x = 3,821,800,626.53
  5. Step 5: Solve for x
    x = 3,821,800,626.53/62,164.16
  6. Step 6: Final answer
    x = 61,479.16

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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.