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Finding the Fourth Proportional to 83,000.97, 114,541.70 and 45,276.03

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Solution

The fourth proportional to 83,000.97, 114,541.70 and 45,276.03 is: 62,481.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,000.97 : 114,541.70 = 45,276.03 : x
  2. Step 2: Convert to fraction form
    83,000.97/114,541.70 = 45,276.03/x
  3. Step 3: Cross multiply
    83,000.97x = 114,541.70 × 45,276.03
  4. Step 4: Simplify right side
    83,000.97x = 5,185,993,219.07
  5. Step 5: Solve for x
    x = 5,185,993,219.07/83,000.97
  6. Step 6: Final answer
    x = 62,481.12

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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.