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Finding the Fourth Proportional to 38,573.80, 57,774.30 and 37,709.80

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Solution

The fourth proportional to 38,573.80, 57,774.30 and 37,709.80 is: 56,480.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,573.80 : 57,774.30 = 37,709.80 : x
  2. Step 2: Convert to fraction form
    38,573.80/57,774.30 = 37,709.80/x
  3. Step 3: Cross multiply
    38,573.80x = 57,774.30 × 37,709.80
  4. Step 4: Simplify right side
    38,573.80x = 2,178,657,298.14
  5. Step 5: Solve for x
    x = 2,178,657,298.14/38,573.80
  6. Step 6: Final answer
    x = 56,480.24

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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.