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Finding the Fourth Proportional to 74,504.53, 102,816.26 and 40,970.53

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Solution

The fourth proportional to 74,504.53, 102,816.26 and 40,970.53 is: 56,539.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,504.53 : 102,816.26 = 40,970.53 : x
  2. Step 2: Convert to fraction form
    74,504.53/102,816.26 = 40,970.53/x
  3. Step 3: Cross multiply
    74,504.53x = 102,816.26 × 40,970.53
  4. Step 4: Simplify right side
    74,504.53x = 4,212,436,742.12
  5. Step 5: Solve for x
    x = 4,212,436,742.12/74,504.53
  6. Step 6: Final answer
    x = 56,539.34

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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.