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Finding the Fourth Proportional to 82,614.97, 114,055.86 and 54,402.67

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Solution

The fourth proportional to 82,614.97, 114,055.86 and 54,402.67 is: 75,106.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,614.97 : 114,055.86 = 54,402.67 : x
  2. Step 2: Convert to fraction form
    82,614.97/114,055.86 = 54,402.67/x
  3. Step 3: Cross multiply
    82,614.97x = 114,055.86 × 54,402.67
  4. Step 4: Simplify right side
    82,614.97x = 6,204,943,313.15
  5. Step 5: Solve for x
    x = 6,204,943,313.15/82,614.97
  6. Step 6: Final answer
    x = 75,106.77

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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.