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Finding the Fourth Proportional to 83,721.94, 115,538.93 and 45,996.98

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Solution

The fourth proportional to 83,721.94, 115,538.93 and 45,996.98 is: 63,477.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,721.94 : 115,538.93 = 45,996.98 : x
  2. Step 2: Convert to fraction form
    83,721.94/115,538.93 = 45,996.98/x
  3. Step 3: Cross multiply
    83,721.94x = 115,538.93 × 45,996.98
  4. Step 4: Simplify right side
    83,721.94x = 5,314,441,852.43
  5. Step 5: Solve for x
    x = 5,314,441,852.43/83,721.94
  6. Step 6: Final answer
    x = 63,477.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.