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Finding the Fourth Proportional to 74,575.57, 102,914.25 and 41,041.57

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Solution

The fourth proportional to 74,575.57, 102,914.25 and 41,041.57 is: 56,637.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,575.57 : 102,914.25 = 41,041.57 : x
  2. Step 2: Convert to fraction form
    74,575.57/102,914.25 = 41,041.57/x
  3. Step 3: Cross multiply
    74,575.57x = 102,914.25 × 41,041.57
  4. Step 4: Simplify right side
    74,575.57x = 4,223,762,395.37
  5. Step 5: Solve for x
    x = 4,223,762,395.37/74,575.57
  6. Step 6: Final answer
    x = 56,637.35

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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.