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Finding the Fourth Proportional to 84,829.76, 116,954.88 and 54,560.96

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Solution

The fourth proportional to 84,829.76, 116,954.88 and 54,560.96 is: 75,223.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,829.76 : 116,954.88 = 54,560.96 : x
  2. Step 2: Convert to fraction form
    84,829.76/116,954.88 = 54,560.96/x
  3. Step 3: Cross multiply
    84,829.76x = 116,954.88 × 54,560.96
  4. Step 4: Simplify right side
    84,829.76x = 6,381,170,529.48
  5. Step 5: Solve for x
    x = 6,381,170,529.48/84,829.76
  6. Step 6: Final answer
    x = 75,223.25

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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.