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Finding the Fourth Proportional to 78,833.84, 118,148.08 and 32,032

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Solution

The fourth proportional to 78,833.84, 118,148.08 and 32,032 is: 48,006.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,833.84 : 118,148.08 = 32,032 : x
  2. Step 2: Convert to fraction form
    78,833.84/118,148.08 = 32,032/x
  3. Step 3: Cross multiply
    78,833.84x = 118,148.08 × 32,032
  4. Step 4: Simplify right side
    78,833.84x = 3,784,519,298.56
  5. Step 5: Solve for x
    x = 3,784,519,298.56/78,833.84
  6. Step 6: Final answer
    x = 48,006.28

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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.