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Finding the Fourth Proportional to 74,809.68, 103,236.84 and 41,275.76

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Solution

The fourth proportional to 74,809.68, 103,236.84 and 41,275.76 is: 56,960.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,809.68 : 103,236.84 = 41,275.76 : x
  2. Step 2: Convert to fraction form
    74,809.68/103,236.84 = 41,275.76/x
  3. Step 3: Cross multiply
    74,809.68x = 103,236.84 × 41,275.76
  4. Step 4: Simplify right side
    74,809.68x = 4,261,179,031.00
  5. Step 5: Solve for x
    x = 4,261,179,031.00/74,809.68
  6. Step 6: Final answer
    x = 56,960.26

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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.