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Finding the Fourth Proportional to 41,574, 57,373.38 and 22,712.34

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Solution

The fourth proportional to 41,574, 57,373.38 and 22,712.34 is: 31,343.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,574 : 57,373.38 = 22,712.34 : x
  2. Step 2: Convert to fraction form
    41,574/57,373.38 = 22,712.34/x
  3. Step 3: Cross multiply
    41,574x = 57,373.38 × 22,712.34
  4. Step 4: Simplify right side
    41,574x = 1,303,083,713.51
  5. Step 5: Solve for x
    x = 1,303,083,713.51/41,574
  6. Step 6: Final answer
    x = 31,343.72

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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.