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Finding the Fourth Proportional to 106,998.60, 160,497.52 and 32,118.42

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Solution

The fourth proportional to 106,998.60, 160,497.52 and 32,118.42 is: 48,177.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,998.60 : 160,497.52 = 32,118.42 : x
  2. Step 2: Convert to fraction form
    106,998.60/160,497.52 = 32,118.42/x
  3. Step 3: Cross multiply
    106,998.60x = 160,497.52 × 32,118.42
  4. Step 4: Simplify right side
    106,998.60x = 5,154,926,756.32
  5. Step 5: Solve for x
    x = 5,154,926,756.32/106,998.60
  6. Step 6: Final answer
    x = 48,177.52

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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.