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Finding the Fourth Proportional to 109,024.10, 163,609.05 and 49,829.30

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Solution

The fourth proportional to 109,024.10, 163,609.05 and 49,829.30 is: 74,777.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,024.10 : 163,609.05 = 49,829.30 : x
  2. Step 2: Convert to fraction form
    109,024.10/163,609.05 = 49,829.30/x
  3. Step 3: Cross multiply
    109,024.10x = 163,609.05 × 49,829.30
  4. Step 4: Simplify right side
    109,024.10x = 8,152,524,435.17
  5. Step 5: Solve for x
    x = 8,152,524,435.17/109,024.10
  6. Step 6: Final answer
    x = 74,777.27

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1.5x scale

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.