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Finding the Fourth Proportional to 97,457.42, 134,468.42 and 57,169.10

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Solution

The fourth proportional to 97,457.42, 134,468.42 and 57,169.10 is: 78,879.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,457.42 : 134,468.42 = 57,169.10 : x
  2. Step 2: Convert to fraction form
    97,457.42/134,468.42 = 57,169.10/x
  3. Step 3: Cross multiply
    97,457.42x = 134,468.42 × 57,169.10
  4. Step 4: Simplify right side
    97,457.42x = 7,687,438,549.82
  5. Step 5: Solve for x
    x = 7,687,438,549.82/97,457.42
  6. Step 6: Final answer
    x = 78,879.97

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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.