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Finding the Fourth Proportional to 48,969, 67,577.22 and 29,097

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Solution

The fourth proportional to 48,969, 67,577.22 and 29,097 is: 40,153.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,969 : 67,577.22 = 29,097 : x
  2. Step 2: Convert to fraction form
    48,969/67,577.22 = 29,097/x
  3. Step 3: Cross multiply
    48,969x = 67,577.22 × 29,097
  4. Step 4: Simplify right side
    48,969x = 1,966,294,370.34
  5. Step 5: Solve for x
    x = 1,966,294,370.34/48,969
  6. Step 6: Final answer
    x = 40,153.86

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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.