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Finding the Fourth Proportional to 83,914.98, 115,803.45 and 46,189.50

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Solution

The fourth proportional to 83,914.98, 115,803.45 and 46,189.50 is: 63,741.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,914.98 : 115,803.45 = 46,189.50 : x
  2. Step 2: Convert to fraction form
    83,914.98/115,803.45 = 46,189.50/x
  3. Step 3: Cross multiply
    83,914.98x = 115,803.45 × 46,189.50
  4. Step 4: Simplify right side
    83,914.98x = 5,348,903,453.78
  5. Step 5: Solve for x
    x = 5,348,903,453.78/83,914.98
  6. Step 6: Final answer
    x = 63,741.94

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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.