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Finding the Fourth Proportional to 74,081.00, 111,152.26 and 47,457

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Solution

The fourth proportional to 74,081.00, 111,152.26 and 47,457 is: 71,205.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,081.00 : 111,152.26 = 47,457 : x
  2. Step 2: Convert to fraction form
    74,081.00/111,152.26 = 47,457/x
  3. Step 3: Cross multiply
    74,081.00x = 111,152.26 × 47,457
  4. Step 4: Simplify right side
    74,081.00x = 5,274,952,565.54
  5. Step 5: Solve for x
    x = 5,274,952,565.54/74,081.00
  6. Step 6: Final answer
    x = 71,205.21

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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.