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Finding the Fourth Proportional to 74,114.88, 111,209.76 and 37,176

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Solution

The fourth proportional to 74,114.88, 111,209.76 and 37,176 is: 55,782.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,114.88 : 111,209.76 = 37,176 : x
  2. Step 2: Convert to fraction form
    74,114.88/111,209.76 = 37,176/x
  3. Step 3: Cross multiply
    74,114.88x = 111,209.76 × 37,176
  4. Step 4: Simplify right side
    74,114.88x = 4,134,334,037.76
  5. Step 5: Solve for x
    x = 4,134,334,037.76/74,114.88
  6. Step 6: Final answer
    x = 55,782.78

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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.