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Finding the Fourth Proportional to 74,088.68, 102,236.58 and 42,255.56

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Solution

The fourth proportional to 74,088.68, 102,236.58 and 42,255.56 is: 58,309.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,088.68 : 102,236.58 = 42,255.56 : x
  2. Step 2: Convert to fraction form
    74,088.68/102,236.58 = 42,255.56/x
  3. Step 3: Cross multiply
    74,088.68x = 102,236.58 × 42,255.56
  4. Step 4: Simplify right side
    74,088.68x = 4,320,063,940.38
  5. Step 5: Solve for x
    x = 4,320,063,940.38/74,088.68
  6. Step 6: Final answer
    x = 58,309.37

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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.