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Finding the Fourth Proportional to 68,485.76, 102,674.80 and 46,019.24

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Solution

The fourth proportional to 68,485.76, 102,674.80 and 46,019.24 is: 68,992.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,485.76 : 102,674.80 = 46,019.24 : x
  2. Step 2: Convert to fraction form
    68,485.76/102,674.80 = 46,019.24/x
  3. Step 3: Cross multiply
    68,485.76x = 102,674.80 × 46,019.24
  4. Step 4: Simplify right side
    68,485.76x = 4,725,016,263.15
  5. Step 5: Solve for x
    x = 4,725,016,263.15/68,485.76
  6. Step 6: Final answer
    x = 68,992.68

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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.