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Finding the Fourth Proportional to 105,283.97, 157,908.65 and 37,802.03

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Solution

The fourth proportional to 105,283.97, 157,908.65 and 37,802.03 is: 56,696.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,283.97 : 157,908.65 = 37,802.03 : x
  2. Step 2: Convert to fraction form
    105,283.97/157,908.65 = 37,802.03/x
  3. Step 3: Cross multiply
    105,283.97x = 157,908.65 × 37,802.03
  4. Step 4: Simplify right side
    105,283.97x = 5,969,267,919.33
  5. Step 5: Solve for x
    x = 5,969,267,919.33/105,283.97
  6. Step 6: Final answer
    x = 56,696.84

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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.