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Finding the Fourth Proportional to 83,054.84, 114,615.41 and 45,329.09

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Solution

The fourth proportional to 83,054.84, 114,615.41 and 45,329.09 is: 62,553.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,054.84 : 114,615.41 = 45,329.09 : x
  2. Step 2: Convert to fraction form
    83,054.84/114,615.41 = 45,329.09/x
  3. Step 3: Cross multiply
    83,054.84x = 114,615.41 × 45,329.09
  4. Step 4: Simplify right side
    83,054.84x = 5,195,411,435.55
  5. Step 5: Solve for x
    x = 5,195,411,435.55/83,054.84
  6. Step 6: Final answer
    x = 62,553.99

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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.