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Finding the Fourth Proportional to 106,048.96, 159,072.48 and 32,176.96

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Solution

The fourth proportional to 106,048.96, 159,072.48 and 32,176.96 is: 48,265.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,048.96 : 159,072.48 = 32,176.96 : x
  2. Step 2: Convert to fraction form
    106,048.96/159,072.48 = 32,176.96/x
  3. Step 3: Cross multiply
    106,048.96x = 159,072.48 × 32,176.96
  4. Step 4: Simplify right side
    106,048.96x = 5,118,468,826.06
  5. Step 5: Solve for x
    x = 5,118,468,826.06/106,048.96
  6. Step 6: Final answer
    x = 48,265.15

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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.