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Finding the Fourth Proportional to 107,830.40, 161,716.80 and 32,950.40

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Solution

The fourth proportional to 107,830.40, 161,716.80 and 32,950.40 is: 49,416.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,830.40 : 161,716.80 = 32,950.40 : x
  2. Step 2: Convert to fraction form
    107,830.40/161,716.80 = 32,950.40/x
  3. Step 3: Cross multiply
    107,830.40x = 161,716.80 × 32,950.40
  4. Step 4: Simplify right side
    107,830.40x = 5,328,633,246.72
  5. Step 5: Solve for x
    x = 5,328,633,246.72/107,830.40
  6. Step 6: Final answer
    x = 49,416.80

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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.