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Finding the Fourth Proportional to 99,563.10, 149,289.29 and 32,966.90

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Solution

The fourth proportional to 99,563.10, 149,289.29 and 32,966.90 is: 49,432.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,563.10 : 149,289.29 = 32,966.90 : x
  2. Step 2: Convert to fraction form
    99,563.10/149,289.29 = 32,966.90/x
  3. Step 3: Cross multiply
    99,563.10x = 149,289.29 × 32,966.90
  4. Step 4: Simplify right side
    99,563.10x = 4,921,605,094.50
  5. Step 5: Solve for x
    x = 4,921,605,094.50/99,563.10
  6. Step 6: Final answer
    x = 49,432.02

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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.