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Finding the Fourth Proportional to 84,747, 116,536.14 and 73,549.56

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Solution

The fourth proportional to 84,747, 116,536.14 and 73,549.56 is: 101,138.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,747 : 116,536.14 = 73,549.56 : x
  2. Step 2: Convert to fraction form
    84,747/116,536.14 = 73,549.56/x
  3. Step 3: Cross multiply
    84,747x = 116,536.14 × 73,549.56
  4. Step 4: Simplify right side
    84,747x = 8,571,181,821.10
  5. Step 5: Solve for x
    x = 8,571,181,821.10/84,747
  6. Step 6: Final answer
    x = 101,138.47

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1.5x scale

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.