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Finding the Fourth Proportional to 82,963.08, 114,489.72 and 45,237.60

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Solution

The fourth proportional to 82,963.08, 114,489.72 and 45,237.60 is: 62,428.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,963.08 : 114,489.72 = 45,237.60 : x
  2. Step 2: Convert to fraction form
    82,963.08/114,489.72 = 45,237.60/x
  3. Step 3: Cross multiply
    82,963.08x = 114,489.72 × 45,237.60
  4. Step 4: Simplify right side
    82,963.08x = 5,179,240,157.47
  5. Step 5: Solve for x
    x = 5,179,240,157.47/82,963.08
  6. Step 6: Final answer
    x = 62,428.25

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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.