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Finding the Fourth Proportional to 82,918.25, 114,347.27 and 55,755.53

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Solution

The fourth proportional to 82,918.25, 114,347.27 and 55,755.53 is: 76,888.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,918.25 : 114,347.27 = 55,755.53 : x
  2. Step 2: Convert to fraction form
    82,918.25/114,347.27 = 55,755.53/x
  3. Step 3: Cross multiply
    82,918.25x = 114,347.27 × 55,755.53
  4. Step 4: Simplify right side
    82,918.25x = 6,375,492,364.13
  5. Step 5: Solve for x
    x = 6,375,492,364.13/82,918.25
  6. Step 6: Final answer
    x = 76,888.89

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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.