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Finding the Fourth Proportional to 114,908.08, 172,365 and 31,802.80

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Solution

The fourth proportional to 114,908.08, 172,365 and 31,802.80 is: 47,705.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,908.08 : 172,365 = 31,802.80 : x
  2. Step 2: Convert to fraction form
    114,908.08/172,365 = 31,802.80/x
  3. Step 3: Cross multiply
    114,908.08x = 172,365 × 31,802.80
  4. Step 4: Simplify right side
    114,908.08x = 5,481,689,622
  5. Step 5: Solve for x
    x = 5,481,689,622/114,908.08
  6. Step 6: Final answer
    x = 47,705.00

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