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Finding the Fourth Proportional to 71,077.44, 97,971.84 and 54,024.96

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Solution

The fourth proportional to 71,077.44, 97,971.84 and 54,024.96 is: 74,467.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,077.44 : 97,971.84 = 54,024.96 : x
  2. Step 2: Convert to fraction form
    71,077.44/97,971.84 = 54,024.96/x
  3. Step 3: Cross multiply
    71,077.44x = 97,971.84 × 54,024.96
  4. Step 4: Simplify right side
    71,077.44x = 5,292,924,737.13
  5. Step 5: Solve for x
    x = 5,292,924,737.13/71,077.44
  6. Step 6: Final answer
    x = 74,467.01

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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.