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Finding the Fourth Proportional to 41,700, 57,546 and 22,837.80

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Solution

The fourth proportional to 41,700, 57,546 and 22,837.80 is: 31,516.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,700 : 57,546 = 22,837.80 : x
  2. Step 2: Convert to fraction form
    41,700/57,546 = 22,837.80/x
  3. Step 3: Cross multiply
    41,700x = 57,546 × 22,837.80
  4. Step 4: Simplify right side
    41,700x = 1,314,224,038.80
  5. Step 5: Solve for x
    x = 1,314,224,038.80/41,700
  6. Step 6: Final answer
    x = 31,516.16

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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.