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Finding the Fourth Proportional to 74,539.50, 102,866.38 and 40,549.90

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Solution

The fourth proportional to 74,539.50, 102,866.38 and 40,549.90 is: 55,959.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,539.50 : 102,866.38 = 40,549.90 : x
  2. Step 2: Convert to fraction form
    74,539.50/102,866.38 = 40,549.90/x
  3. Step 3: Cross multiply
    74,539.50x = 102,866.38 × 40,549.90
  4. Step 4: Simplify right side
    74,539.50x = 4,171,221,422.36
  5. Step 5: Solve for x
    x = 4,171,221,422.36/74,539.50
  6. Step 6: Final answer
    x = 55,959.88

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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.