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Finding the Fourth Proportional to 114,906.08, 172,362 and 31,800.80

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Solution

The fourth proportional to 114,906.08, 172,362 and 31,800.80 is: 47,702.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,906.08 : 172,362 = 31,800.80 : x
  2. Step 2: Convert to fraction form
    114,906.08/172,362 = 31,800.80/x
  3. Step 3: Cross multiply
    114,906.08x = 172,362 × 31,800.80
  4. Step 4: Simplify right side
    114,906.08x = 5,481,249,489.60
  5. Step 5: Solve for x
    x = 5,481,249,489.60/114,906.08
  6. Step 6: Final answer
    x = 47,702.00

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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.