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Finding the Fourth Proportional to 83,262.56, 114,903.24 and 45,536

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Solution

The fourth proportional to 83,262.56, 114,903.24 and 45,536 is: 62,840.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,262.56 : 114,903.24 = 45,536 : x
  2. Step 2: Convert to fraction form
    83,262.56/114,903.24 = 45,536/x
  3. Step 3: Cross multiply
    83,262.56x = 114,903.24 × 45,536
  4. Step 4: Simplify right side
    83,262.56x = 5,232,233,936.64
  5. Step 5: Solve for x
    x = 5,232,233,936.64/83,262.56
  6. Step 6: Final answer
    x = 62,840.18

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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.