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Finding the Fourth Proportional to 74,809.76, 103,274.88 and 46,524.56

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Solution

The fourth proportional to 74,809.76, 103,274.88 and 46,524.56 is: 64,227.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,809.76 : 103,274.88 = 46,524.56 : x
  2. Step 2: Convert to fraction form
    74,809.76/103,274.88 = 46,524.56/x
  3. Step 3: Cross multiply
    74,809.76x = 103,274.88 × 46,524.56
  4. Step 4: Simplify right side
    74,809.76x = 4,804,818,351.05
  5. Step 5: Solve for x
    x = 4,804,818,351.05/74,809.76
  6. Step 6: Final answer
    x = 64,227.16

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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.