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Finding the Fourth Proportional to 82,755.70, 114,202.14 and 45,029.98

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Solution

The fourth proportional to 82,755.70, 114,202.14 and 45,029.98 is: 62,140.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,755.70 : 114,202.14 = 45,029.98 : x
  2. Step 2: Convert to fraction form
    82,755.70/114,202.14 = 45,029.98/x
  3. Step 3: Cross multiply
    82,755.70x = 114,202.14 × 45,029.98
  4. Step 4: Simplify right side
    82,755.70x = 5,142,520,080.16
  5. Step 5: Solve for x
    x = 5,142,520,080.16/82,755.70
  6. Step 6: Final answer
    x = 62,140.98

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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.