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Finding the Fourth Proportional to 29,194, 40,287.88 and 15,946

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Solution

The fourth proportional to 29,194, 40,287.88 and 15,946 is: 22,005.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,194 : 40,287.88 = 15,946 : x
  2. Step 2: Convert to fraction form
    29,194/40,287.88 = 15,946/x
  3. Step 3: Cross multiply
    29,194x = 40,287.88 × 15,946
  4. Step 4: Simplify right side
    29,194x = 642,430,534.48
  5. Step 5: Solve for x
    x = 642,430,534.48/29,194
  6. Step 6: Final answer
    x = 22,005.57

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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.