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Finding the Fourth Proportional to 57,053.40, 78,735.84 and 31,902.84

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Solution

The fourth proportional to 57,053.40, 78,735.84 and 31,902.84 is: 44,027.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,053.40 : 78,735.84 = 31,902.84 : x
  2. Step 2: Convert to fraction form
    57,053.40/78,735.84 = 31,902.84/x
  3. Step 3: Cross multiply
    57,053.40x = 78,735.84 × 31,902.84
  4. Step 4: Simplify right side
    57,053.40x = 2,511,896,905.79
  5. Step 5: Solve for x
    x = 2,511,896,905.79/57,053.40
  6. Step 6: Final answer
    x = 44,027.12

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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.