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Finding the Fourth Proportional to 107,902.94, 161,834.81 and 28,998.71

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Solution

The fourth proportional to 107,902.94, 161,834.81 and 28,998.71 is: 43,492.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,902.94 : 161,834.81 = 28,998.71 : x
  2. Step 2: Convert to fraction form
    107,902.94/161,834.81 = 28,998.71/x
  3. Step 3: Cross multiply
    107,902.94x = 161,834.81 × 28,998.71
  4. Step 4: Simplify right side
    107,902.94x = 4,693,000,538.93
  5. Step 5: Solve for x
    x = 4,693,000,538.93/107,902.94
  6. Step 6: Final answer
    x = 43,492.80

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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.