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Finding the Fourth Proportional to 42,005.25, 57,967.25 and 23,143.59

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Solution

The fourth proportional to 42,005.25, 57,967.25 and 23,143.59 is: 31,938.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,005.25 : 57,967.25 = 23,143.59 : x
  2. Step 2: Convert to fraction form
    42,005.25/57,967.25 = 23,143.59/x
  3. Step 3: Cross multiply
    42,005.25x = 57,967.25 × 23,143.59
  4. Step 4: Simplify right side
    42,005.25x = 1,341,570,151.71
  5. Step 5: Solve for x
    x = 1,341,570,151.71/42,005.25
  6. Step 6: Final answer
    x = 31,938.15

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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.