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Finding the Fourth Proportional to 59,916, 82,684.08 and 33,420

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Solution

The fourth proportional to 59,916, 82,684.08 and 33,420 is: 46,119.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,916 : 82,684.08 = 33,420 : x
  2. Step 2: Convert to fraction form
    59,916/82,684.08 = 33,420/x
  3. Step 3: Cross multiply
    59,916x = 82,684.08 × 33,420
  4. Step 4: Simplify right side
    59,916x = 2,763,301,953.60
  5. Step 5: Solve for x
    x = 2,763,301,953.60/59,916
  6. Step 6: Final answer
    x = 46,119.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.