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Finding the Fourth Proportional to 32,526.96, 48,795 and 10,338

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Solution

The fourth proportional to 32,526.96, 48,795 and 10,338 is: 15,508.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,526.96 : 48,795 = 10,338 : x
  2. Step 2: Convert to fraction form
    32,526.96/48,795 = 10,338/x
  3. Step 3: Cross multiply
    32,526.96x = 48,795 × 10,338
  4. Step 4: Simplify right side
    32,526.96x = 504,442,710
  5. Step 5: Solve for x
    x = 504,442,710/32,526.96
  6. Step 6: Final answer
    x = 15,508.45

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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.