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Finding the Fourth Proportional to 83,325.49, 114,986.31 and 47,527.04

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Solution

The fourth proportional to 83,325.49, 114,986.31 and 47,527.04 is: 65,585.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,325.49 : 114,986.31 = 47,527.04 : x
  2. Step 2: Convert to fraction form
    83,325.49/114,986.31 = 47,527.04/x
  3. Step 3: Cross multiply
    83,325.49x = 114,986.31 × 47,527.04
  4. Step 4: Simplify right side
    83,325.49x = 5,464,958,954.82
  5. Step 5: Solve for x
    x = 5,464,958,954.82/83,325.49
  6. Step 6: Final answer
    x = 65,585.68

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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.