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Finding the Fourth Proportional to 82,226.50, 123,359.25 and 26,822.50

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Solution

The fourth proportional to 82,226.50, 123,359.25 and 26,822.50 is: 40,240.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,226.50 : 123,359.25 = 26,822.50 : x
  2. Step 2: Convert to fraction form
    82,226.50/123,359.25 = 26,822.50/x
  3. Step 3: Cross multiply
    82,226.50x = 123,359.25 × 26,822.50
  4. Step 4: Simplify right side
    82,226.50x = 3,308,803,483.13
  5. Step 5: Solve for x
    x = 3,308,803,483.13/82,226.50
  6. Step 6: Final answer
    x = 40,240.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.