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Finding the Fourth Proportional to 73,810.98, 110,648.34 and 29,427

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Solution

The fourth proportional to 73,810.98, 110,648.34 and 29,427 is: 44,113.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,810.98 : 110,648.34 = 29,427 : x
  2. Step 2: Convert to fraction form
    73,810.98/110,648.34 = 29,427/x
  3. Step 3: Cross multiply
    73,810.98x = 110,648.34 × 29,427
  4. Step 4: Simplify right side
    73,810.98x = 3,256,048,701.18
  5. Step 5: Solve for x
    x = 3,256,048,701.18/73,810.98
  6. Step 6: Final answer
    x = 44,113.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.