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Finding the Fourth Proportional to 74,611.76, 102,924.95 and 46,268.24

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Solution

The fourth proportional to 74,611.76, 102,924.95 and 46,268.24 is: 63,825.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,611.76 : 102,924.95 = 46,268.24 : x
  2. Step 2: Convert to fraction form
    74,611.76/102,924.95 = 46,268.24/x
  3. Step 3: Cross multiply
    74,611.76x = 102,924.95 × 46,268.24
  4. Step 4: Simplify right side
    74,611.76x = 4,762,155,542.62
  5. Step 5: Solve for x
    x = 4,762,155,542.62/74,611.76
  6. Step 6: Final answer
    x = 63,825.81

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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.