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Finding the Fourth Proportional to 74,575.80, 102,914.60 and 41,041.80

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Solution

The fourth proportional to 74,575.80, 102,914.60 and 41,041.80 is: 56,637.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,575.80 : 102,914.60 = 41,041.80 : x
  2. Step 2: Convert to fraction form
    74,575.80/102,914.60 = 41,041.80/x
  3. Step 3: Cross multiply
    74,575.80x = 102,914.60 × 41,041.80
  4. Step 4: Simplify right side
    74,575.80x = 4,223,800,225.07
  5. Step 5: Solve for x
    x = 4,223,800,225.07/74,575.80
  6. Step 6: Final answer
    x = 56,637.68

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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.