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Finding the Fourth Proportional to 32,533.96, 48,878.70 and 20,869.96

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Solution

The fourth proportional to 32,533.96, 48,878.70 and 20,869.96 is: 31,354.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,533.96 : 48,878.70 = 20,869.96 : x
  2. Step 2: Convert to fraction form
    32,533.96/48,878.70 = 20,869.96/x
  3. Step 3: Cross multiply
    32,533.96x = 48,878.70 × 20,869.96
  4. Step 4: Simplify right side
    32,533.96x = 1,020,096,513.85
  5. Step 5: Solve for x
    x = 1,020,096,513.85/32,533.96
  6. Step 6: Final answer
    x = 31,354.82

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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.