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Finding the Fourth Proportional to 83,090.97, 114,665.90 and 45,366.03

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Solution

The fourth proportional to 83,090.97, 114,665.90 and 45,366.03 is: 62,605.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,090.97 : 114,665.90 = 45,366.03 : x
  2. Step 2: Convert to fraction form
    83,090.97/114,665.90 = 45,366.03/x
  3. Step 3: Cross multiply
    83,090.97x = 114,665.90 × 45,366.03
  4. Step 4: Simplify right side
    83,090.97x = 5,201,936,432.55
  5. Step 5: Solve for x
    x = 5,201,936,432.55/83,090.97
  6. Step 6: Final answer
    x = 62,605.32

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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.