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Finding the Fourth Proportional to 82,776.50, 114,228.12 and 48,786.44

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Solution

The fourth proportional to 82,776.50, 114,228.12 and 48,786.44 is: 67,323.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,776.50 : 114,228.12 = 48,786.44 : x
  2. Step 2: Convert to fraction form
    82,776.50/114,228.12 = 48,786.44/x
  3. Step 3: Cross multiply
    82,776.50x = 114,228.12 × 48,786.44
  4. Step 4: Simplify right side
    82,776.50x = 5,572,782,934.50
  5. Step 5: Solve for x
    x = 5,572,782,934.50/82,776.50
  6. Step 6: Final answer
    x = 67,323.25

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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.