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Finding the Fourth Proportional to 68,708.32, 102,914.36 and 46,399.02

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Solution

The fourth proportional to 68,708.32, 102,914.36 and 46,399.02 is: 69,498.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,708.32 : 102,914.36 = 46,399.02 : x
  2. Step 2: Convert to fraction form
    68,708.32/102,914.36 = 46,399.02/x
  3. Step 3: Cross multiply
    68,708.32x = 102,914.36 × 46,399.02
  4. Step 4: Simplify right side
    68,708.32x = 4,775,125,447.93
  5. Step 5: Solve for x
    x = 4,775,125,447.93/68,708.32
  6. Step 6: Final answer
    x = 69,498.50

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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.