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Finding the Fourth Proportional to 67,842.69, 101,773.29 and 23,457.52

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Solution

The fourth proportional to 67,842.69, 101,773.29 and 23,457.52 is: 35,189.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,842.69 : 101,773.29 = 23,457.52 : x
  2. Step 2: Convert to fraction form
    67,842.69/101,773.29 = 23,457.52/x
  3. Step 3: Cross multiply
    67,842.69x = 101,773.29 × 23,457.52
  4. Step 4: Simplify right side
    67,842.69x = 2,387,349,200.82
  5. Step 5: Solve for x
    x = 2,387,349,200.82/67,842.69
  6. Step 6: Final answer
    x = 35,189.49

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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.