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Finding the Fourth Proportional to 83,483.30, 115,206.70 and 45,243.94

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Solution

The fourth proportional to 83,483.30, 115,206.70 and 45,243.94 is: 62,436.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,483.30 : 115,206.70 = 45,243.94 : x
  2. Step 2: Convert to fraction form
    83,483.30/115,206.70 = 45,243.94/x
  3. Step 3: Cross multiply
    83,483.30x = 115,206.70 × 45,243.94
  4. Step 4: Simplify right side
    83,483.30x = 5,212,405,022.40
  5. Step 5: Solve for x
    x = 5,212,405,022.40/83,483.30
  6. Step 6: Final answer
    x = 62,436.50

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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.