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Finding the Fourth Proportional to 82,755.16, 114,201.48 and 45,029.32

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Solution

The fourth proportional to 82,755.16, 114,201.48 and 45,029.32 is: 62,140.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,755.16 : 114,201.48 = 45,029.32 : x
  2. Step 2: Convert to fraction form
    82,755.16/114,201.48 = 45,029.32/x
  3. Step 3: Cross multiply
    82,755.16x = 114,201.48 × 45,029.32
  4. Step 4: Simplify right side
    82,755.16x = 5,142,414,987.39
  5. Step 5: Solve for x
    x = 5,142,414,987.39/82,755.16
  6. Step 6: Final answer
    x = 62,140.11

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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.