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Finding the Fourth Proportional to 29,762.76, 41,072.48 and 16,334.23

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Solution

The fourth proportional to 29,762.76, 41,072.48 and 16,334.23 is: 22,541.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,762.76 : 41,072.48 = 16,334.23 : x
  2. Step 2: Convert to fraction form
    29,762.76/41,072.48 = 16,334.23/x
  3. Step 3: Cross multiply
    29,762.76x = 41,072.48 × 16,334.23
  4. Step 4: Simplify right side
    29,762.76x = 670,887,375.83
  5. Step 5: Solve for x
    x = 670,887,375.83/29,762.76
  6. Step 6: Final answer
    x = 22,541.17

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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.