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Finding the Fourth Proportional to 32,308.79, 48,463.20 and 10,123.90

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Solution

The fourth proportional to 32,308.79, 48,463.20 and 10,123.90 is: 15,185.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,308.79 : 48,463.20 = 10,123.90 : x
  2. Step 2: Convert to fraction form
    32,308.79/48,463.20 = 10,123.90/x
  3. Step 3: Cross multiply
    32,308.79x = 48,463.20 × 10,123.90
  4. Step 4: Simplify right side
    32,308.79x = 490,636,770.40
  5. Step 5: Solve for x
    x = 490,636,770.40/32,308.79
  6. Step 6: Final answer
    x = 15,185.86

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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.