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Finding the Fourth Proportional to 42,008.64, 57,970.20 and 23,144.64

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Solution

The fourth proportional to 42,008.64, 57,970.20 and 23,144.64 is: 31,938.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,008.64 : 57,970.20 = 23,144.64 : x
  2. Step 2: Convert to fraction form
    42,008.64/57,970.20 = 23,144.64/x
  3. Step 3: Cross multiply
    42,008.64x = 57,970.20 × 23,144.64
  4. Step 4: Simplify right side
    42,008.64x = 1,341,699,409.73
  5. Step 5: Solve for x
    x = 1,341,699,409.73/42,008.64
  6. Step 6: Final answer
    x = 31,938.65

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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.