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Finding the Fourth Proportional to 82,980, 114,512.40 and 45,254.52

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Solution

The fourth proportional to 82,980, 114,512.40 and 45,254.52 is: 62,451.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,980 : 114,512.40 = 45,254.52 : x
  2. Step 2: Convert to fraction form
    82,980/114,512.40 = 45,254.52/x
  3. Step 3: Cross multiply
    82,980x = 114,512.40 × 45,254.52
  4. Step 4: Simplify right side
    82,980x = 5,182,203,696.05
  5. Step 5: Solve for x
    x = 5,182,203,696.05/82,980
  6. Step 6: Final answer
    x = 62,451.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.