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Finding the Fourth Proportional to 74,943.60, 112,470.84 and 35,500.80

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Solution

The fourth proportional to 74,943.60, 112,470.84 and 35,500.80 is: 53,277.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,943.60 : 112,470.84 = 35,500.80 : x
  2. Step 2: Convert to fraction form
    74,943.60/112,470.84 = 35,500.80/x
  3. Step 3: Cross multiply
    74,943.60x = 112,470.84 × 35,500.80
  4. Step 4: Simplify right side
    74,943.60x = 3,992,804,796.67
  5. Step 5: Solve for x
    x = 3,992,804,796.67/74,943.60
  6. Step 6: Final answer
    x = 53,277.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.