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Finding the Fourth Proportional to 41,045.74, 56,646.03 and 23,142.41

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Solution

The fourth proportional to 41,045.74, 56,646.03 and 23,142.41 is: 31,938.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,045.74 : 56,646.03 = 23,142.41 : x
  2. Step 2: Convert to fraction form
    41,045.74/56,646.03 = 23,142.41/x
  3. Step 3: Cross multiply
    41,045.74x = 56,646.03 × 23,142.41
  4. Step 4: Simplify right side
    41,045.74x = 1,310,925,667.11
  5. Step 5: Solve for x
    x = 1,310,925,667.11/41,045.74
  6. Step 6: Final answer
    x = 31,938.17

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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.