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Finding the Fourth Proportional to 96,889.50, 145,356.12 and 34,560

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Solution

The fourth proportional to 96,889.50, 145,356.12 and 34,560 is: 51,847.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,889.50 : 145,356.12 = 34,560 : x
  2. Step 2: Convert to fraction form
    96,889.50/145,356.12 = 34,560/x
  3. Step 3: Cross multiply
    96,889.50x = 145,356.12 × 34,560
  4. Step 4: Simplify right side
    96,889.50x = 5,023,507,507.20
  5. Step 5: Solve for x
    x = 5,023,507,507.20/96,889.50
  6. Step 6: Final answer
    x = 51,847.80

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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.