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Finding the Fourth Proportional to 42,084.63, 62,971.02 and 33,739.40

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Solution

The fourth proportional to 42,084.63, 62,971.02 and 33,739.40 is: 50,484.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,084.63 : 62,971.02 = 33,739.40 : x
  2. Step 2: Convert to fraction form
    42,084.63/62,971.02 = 33,739.40/x
  3. Step 3: Cross multiply
    42,084.63x = 62,971.02 × 33,739.40
  4. Step 4: Simplify right side
    42,084.63x = 2,124,604,589.62
  5. Step 5: Solve for x
    x = 2,124,604,589.62/42,084.63
  6. Step 6: Final answer
    x = 50,484.10

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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.