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Finding the Fourth Proportional to 27,053.16, 40,580 and 7,331.92

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Solution

The fourth proportional to 27,053.16, 40,580 and 7,331.92 is: 10,997.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,053.16 : 40,580 = 7,331.92 : x
  2. Step 2: Convert to fraction form
    27,053.16/40,580 = 7,331.92/x
  3. Step 3: Cross multiply
    27,053.16x = 40,580 × 7,331.92
  4. Step 4: Simplify right side
    27,053.16x = 297,529,313.60
  5. Step 5: Solve for x
    x = 297,529,313.60/27,053.16
  6. Step 6: Final answer
    x = 10,997.95

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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.