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Finding the Fourth Proportional to 83,284.38, 114,940.36 and 45,564.30

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Solution

The fourth proportional to 83,284.38, 114,940.36 and 45,564.30 is: 62,883.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,284.38 : 114,940.36 = 45,564.30 : x
  2. Step 2: Convert to fraction form
    83,284.38/114,940.36 = 45,564.30/x
  3. Step 3: Cross multiply
    83,284.38x = 114,940.36 × 45,564.30
  4. Step 4: Simplify right side
    83,284.38x = 5,237,177,045.15
  5. Step 5: Solve for x
    x = 5,237,177,045.15/83,284.38
  6. Step 6: Final answer
    x = 62,883.06

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1.5x scale

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.