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Finding the Fourth Proportional to 71,024.32, 97,976.96 and 44,156.64

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Solution

The fourth proportional to 71,024.32, 97,976.96 and 44,156.64 is: 60,913.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,024.32 : 97,976.96 = 44,156.64 : x
  2. Step 2: Convert to fraction form
    71,024.32/97,976.96 = 44,156.64/x
  3. Step 3: Cross multiply
    71,024.32x = 97,976.96 × 44,156.64
  4. Step 4: Simplify right side
    71,024.32x = 4,326,333,351.01
  5. Step 5: Solve for x
    x = 4,326,333,351.01/71,024.32
  6. Step 6: Final answer
    x = 60,913.41

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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.