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Finding the Fourth Proportional to 74,400, 102,672 and 40,866

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Solution

The fourth proportional to 74,400, 102,672 and 40,866 is: 56,395.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,400 : 102,672 = 40,866 : x
  2. Step 2: Convert to fraction form
    74,400/102,672 = 40,866/x
  3. Step 3: Cross multiply
    74,400x = 102,672 × 40,866
  4. Step 4: Simplify right side
    74,400x = 4,195,793,952
  5. Step 5: Solve for x
    x = 4,195,793,952/74,400
  6. Step 6: Final answer
    x = 56,395.08

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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.