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Finding the Fourth Proportional to 84,555.84, 116,499.12 and 55,824.30

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Solution

The fourth proportional to 84,555.84, 116,499.12 and 55,824.30 is: 76,913.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,555.84 : 116,499.12 = 55,824.30 : x
  2. Step 2: Convert to fraction form
    84,555.84/116,499.12 = 55,824.30/x
  3. Step 3: Cross multiply
    84,555.84x = 116,499.12 × 55,824.30
  4. Step 4: Simplify right side
    84,555.84x = 6,503,481,824.62
  5. Step 5: Solve for x
    x = 6,503,481,824.62/84,555.84
  6. Step 6: Final answer
    x = 76,913.46

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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.