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Finding the Fourth Proportional to 116,802.17, 175,243.92 and 36,852.49

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Solution

The fourth proportional to 116,802.17, 175,243.92 and 36,852.49 is: 55,291.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,802.17 : 175,243.92 = 36,852.49 : x
  2. Step 2: Convert to fraction form
    116,802.17/175,243.92 = 36,852.49/x
  3. Step 3: Cross multiply
    116,802.17x = 175,243.92 × 36,852.49
  4. Step 4: Simplify right side
    116,802.17x = 6,458,173,933.14
  5. Step 5: Solve for x
    x = 6,458,173,933.14/116,802.17
  6. Step 6: Final answer
    x = 55,291.56

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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.