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Finding the Fourth Proportional to 82,767.83, 114,253.91 and 55,946.67

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Solution

The fourth proportional to 82,767.83, 114,253.91 and 55,946.67 is: 77,229.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,767.83 : 114,253.91 = 55,946.67 : x
  2. Step 2: Convert to fraction form
    82,767.83/114,253.91 = 55,946.67/x
  3. Step 3: Cross multiply
    82,767.83x = 114,253.91 × 55,946.67
  4. Step 4: Simplify right side
    82,767.83x = 6,392,125,300.59
  5. Step 5: Solve for x
    x = 6,392,125,300.59/82,767.83
  6. Step 6: Final answer
    x = 77,229.59

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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.