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Finding the Fourth Proportional to 57,556.32, 79,422 and 42,457.14

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Solution

The fourth proportional to 57,556.32, 79,422 and 42,457.14 is: 58,586.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,556.32 : 79,422 = 42,457.14 : x
  2. Step 2: Convert to fraction form
    57,556.32/79,422 = 42,457.14/x
  3. Step 3: Cross multiply
    57,556.32x = 79,422 × 42,457.14
  4. Step 4: Simplify right side
    57,556.32x = 3,372,030,973.08
  5. Step 5: Solve for x
    x = 3,372,030,973.08/57,556.32
  6. Step 6: Final answer
    x = 58,586.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.