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Finding the Fourth Proportional to 76,627.56, 105,745.44 and 42,174.24

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Solution

The fourth proportional to 76,627.56, 105,745.44 and 42,174.24 is: 58,200.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,627.56 : 105,745.44 = 42,174.24 : x
  2. Step 2: Convert to fraction form
    76,627.56/105,745.44 = 42,174.24/x
  3. Step 3: Cross multiply
    76,627.56x = 105,745.44 × 42,174.24
  4. Step 4: Simplify right side
    76,627.56x = 4,459,733,565.47
  5. Step 5: Solve for x
    x = 4,459,733,565.47/76,627.56
  6. Step 6: Final answer
    x = 58,200.12

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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.