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Finding the Fourth Proportional to 78,952.92, 108,954.90 and 43,142.94

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Solution

The fourth proportional to 78,952.92, 108,954.90 and 43,142.94 is: 59,537.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,952.92 : 108,954.90 = 43,142.94 : x
  2. Step 2: Convert to fraction form
    78,952.92/108,954.90 = 43,142.94/x
  3. Step 3: Cross multiply
    78,952.92x = 108,954.90 × 43,142.94
  4. Step 4: Simplify right side
    78,952.92x = 4,700,634,713.41
  5. Step 5: Solve for x
    x = 4,700,634,713.41/78,952.92
  6. Step 6: Final answer
    x = 59,537.19

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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.