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Finding the Fourth Proportional to 32,506.50, 48,775.26 and 22,526.68

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Solution

The fourth proportional to 32,506.50, 48,775.26 and 22,526.68 is: 33,800.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,506.50 : 48,775.26 = 22,526.68 : x
  2. Step 2: Convert to fraction form
    32,506.50/48,775.26 = 22,526.68/x
  3. Step 3: Cross multiply
    32,506.50x = 48,775.26 × 22,526.68
  4. Step 4: Simplify right side
    32,506.50x = 1,098,744,673.94
  5. Step 5: Solve for x
    x = 1,098,744,673.94/32,506.50
  6. Step 6: Final answer
    x = 33,800.77

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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.