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Finding the Fourth Proportional to 41,666.88, 57,501.76 and 22,804

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Solution

The fourth proportional to 41,666.88, 57,501.76 and 22,804 is: 31,470.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,666.88 : 57,501.76 = 22,804 : x
  2. Step 2: Convert to fraction form
    41,666.88/57,501.76 = 22,804/x
  3. Step 3: Cross multiply
    41,666.88x = 57,501.76 × 22,804
  4. Step 4: Simplify right side
    41,666.88x = 1,311,270,135.04
  5. Step 5: Solve for x
    x = 1,311,270,135.04/41,666.88
  6. Step 6: Final answer
    x = 31,470.32

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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.