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Finding the Fourth Proportional to 82,954.56, 114,477.12 and 45,228.96

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Solution

The fourth proportional to 82,954.56, 114,477.12 and 45,228.96 is: 62,415.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,954.56 : 114,477.12 = 45,228.96 : x
  2. Step 2: Convert to fraction form
    82,954.56/114,477.12 = 45,228.96/x
  3. Step 3: Cross multiply
    82,954.56x = 114,477.12 × 45,228.96
  4. Step 4: Simplify right side
    82,954.56x = 5,177,681,081.40
  5. Step 5: Solve for x
    x = 5,177,681,081.40/82,954.56
  6. Step 6: Final answer
    x = 62,415.87

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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.