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Finding the Fourth Proportional to 82,827.10, 114,302.70 and 45,101.32

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Solution

The fourth proportional to 82,827.10, 114,302.70 and 45,101.32 is: 62,240.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,827.10 : 114,302.70 = 45,101.32 : x
  2. Step 2: Convert to fraction form
    82,827.10/114,302.70 = 45,101.32/x
  3. Step 3: Cross multiply
    82,827.10x = 114,302.70 × 45,101.32
  4. Step 4: Simplify right side
    82,827.10x = 5,155,202,649.56
  5. Step 5: Solve for x
    x = 5,155,202,649.56/82,827.10
  6. Step 6: Final answer
    x = 62,240.53

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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.