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Finding the Fourth Proportional to 114,802.74, 172,203.87 and 31,696.50

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Solution

The fourth proportional to 114,802.74, 172,203.87 and 31,696.50 is: 47,544.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,802.74 : 172,203.87 = 31,696.50 : x
  2. Step 2: Convert to fraction form
    114,802.74/172,203.87 = 31,696.50/x
  3. Step 3: Cross multiply
    114,802.74x = 172,203.87 × 31,696.50
  4. Step 4: Simplify right side
    114,802.74x = 5,458,259,965.46
  5. Step 5: Solve for x
    x = 5,458,259,965.46/114,802.74
  6. Step 6: Final answer
    x = 47,544.68

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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.