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Finding the Fourth Proportional to 106,683.12, 160,024.56 and 32,811.12

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Solution

The fourth proportional to 106,683.12, 160,024.56 and 32,811.12 is: 49,216.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,683.12 : 160,024.56 = 32,811.12 : x
  2. Step 2: Convert to fraction form
    106,683.12/160,024.56 = 32,811.12/x
  3. Step 3: Cross multiply
    106,683.12x = 160,024.56 × 32,811.12
  4. Step 4: Simplify right side
    106,683.12x = 5,250,585,041.11
  5. Step 5: Solve for x
    x = 5,250,585,041.11/106,683.12
  6. Step 6: Final answer
    x = 49,216.64

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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.