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Finding the Fourth Proportional to 83,290.32, 114,940.44 and 45,564.48

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Solution

The fourth proportional to 83,290.32, 114,940.44 and 45,564.48 is: 62,878.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,290.32 : 114,940.44 = 45,564.48 : x
  2. Step 2: Convert to fraction form
    83,290.32/114,940.44 = 45,564.48/x
  3. Step 3: Cross multiply
    83,290.32x = 114,940.44 × 45,564.48
  4. Step 4: Simplify right side
    83,290.32x = 5,237,201,379.57
  5. Step 5: Solve for x
    x = 5,237,201,379.57/83,290.32
  6. Step 6: Final answer
    x = 62,878.87

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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.