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Finding the Fourth Proportional to 74,201.56, 102,403.14 and 41,925

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Solution

The fourth proportional to 74,201.56, 102,403.14 and 41,925 is: 57,859.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,201.56 : 102,403.14 = 41,925 : x
  2. Step 2: Convert to fraction form
    74,201.56/102,403.14 = 41,925/x
  3. Step 3: Cross multiply
    74,201.56x = 102,403.14 × 41,925
  4. Step 4: Simplify right side
    74,201.56x = 4,293,251,644.50
  5. Step 5: Solve for x
    x = 4,293,251,644.50/74,201.56
  6. Step 6: Final answer
    x = 57,859.32

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1.5x scale

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.