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Finding the Fourth Proportional to 57,457.74, 86,111.74 and 29,354.11

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Solution

The fourth proportional to 57,457.74, 86,111.74 and 29,354.11 is: 43,992.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,457.74 : 86,111.74 = 29,354.11 : x
  2. Step 2: Convert to fraction form
    57,457.74/86,111.74 = 29,354.11/x
  3. Step 3: Cross multiply
    57,457.74x = 86,111.74 × 29,354.11
  4. Step 4: Simplify right side
    57,457.74x = 2,527,733,488.25
  5. Step 5: Solve for x
    x = 2,527,733,488.25/57,457.74
  6. Step 6: Final answer
    x = 43,992.92

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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.