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Finding the Fourth Proportional to 114,802.55, 172,203.83 and 35,917.46

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Solution

The fourth proportional to 114,802.55, 172,203.83 and 35,917.46 is: 53,876.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,802.55 : 172,203.83 = 35,917.46 : x
  2. Step 2: Convert to fraction form
    114,802.55/172,203.83 = 35,917.46/x
  3. Step 3: Cross multiply
    114,802.55x = 172,203.83 × 35,917.46
  4. Step 4: Simplify right side
    114,802.55x = 6,185,123,996.28
  5. Step 5: Solve for x
    x = 6,185,123,996.28/114,802.55
  6. Step 6: Final answer
    x = 53,876.19

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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.