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Finding the Fourth Proportional to 41,580.54, 57,381 and 22,717.68

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Solution

The fourth proportional to 41,580.54, 57,381 and 22,717.68 is: 31,350.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,580.54 : 57,381 = 22,717.68 : x
  2. Step 2: Convert to fraction form
    41,580.54/57,381 = 22,717.68/x
  3. Step 3: Cross multiply
    41,580.54x = 57,381 × 22,717.68
  4. Step 4: Simplify right side
    41,580.54x = 1,303,563,196.08
  5. Step 5: Solve for x
    x = 1,303,563,196.08/41,580.54
  6. Step 6: Final answer
    x = 31,350.32

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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.