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Finding the Fourth Proportional to 57,054.69, 78,735.02 and 31,904.19

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Solution

The fourth proportional to 57,054.69, 78,735.02 and 31,904.19 is: 44,027.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,054.69 : 78,735.02 = 31,904.19 : x
  2. Step 2: Convert to fraction form
    57,054.69/78,735.02 = 31,904.19/x
  3. Step 3: Cross multiply
    57,054.69x = 78,735.02 × 31,904.19
  4. Step 4: Simplify right side
    57,054.69x = 2,511,976,878.21
  5. Step 5: Solve for x
    x = 2,511,976,878.21/57,054.69
  6. Step 6: Final answer
    x = 44,027.53

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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.