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Finding the Fourth Proportional to 82,965.68, 114,495 and 45,242

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Solution

The fourth proportional to 82,965.68, 114,495 and 45,242 is: 62,435.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,965.68 : 114,495 = 45,242 : x
  2. Step 2: Convert to fraction form
    82,965.68/114,495 = 45,242/x
  3. Step 3: Cross multiply
    82,965.68x = 114,495 × 45,242
  4. Step 4: Simplify right side
    82,965.68x = 5,179,982,790
  5. Step 5: Solve for x
    x = 5,179,982,790/82,965.68
  6. Step 6: Final answer
    x = 62,435.25

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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.