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Finding the Fourth Proportional to 106,908.76, 160,317.96 and 32,039.56

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Solution

The fourth proportional to 106,908.76, 160,317.96 and 32,039.56 is: 48,045.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,908.76 : 160,317.96 = 32,039.56 : x
  2. Step 2: Convert to fraction form
    106,908.76/160,317.96 = 32,039.56/x
  3. Step 3: Cross multiply
    106,908.76x = 160,317.96 × 32,039.56
  4. Step 4: Simplify right side
    106,908.76x = 5,136,516,898.50
  5. Step 5: Solve for x
    x = 5,136,516,898.50/106,908.76
  6. Step 6: Final answer
    x = 48,045.80

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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.