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Finding the Fourth Proportional to 32,526.72, 48,780.40 and 13,806.40

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Solution

The fourth proportional to 32,526.72, 48,780.40 and 13,806.40 is: 20,705.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,526.72 : 48,780.40 = 13,806.40 : x
  2. Step 2: Convert to fraction form
    32,526.72/48,780.40 = 13,806.40/x
  3. Step 3: Cross multiply
    32,526.72x = 48,780.40 × 13,806.40
  4. Step 4: Simplify right side
    32,526.72x = 673,481,714.56
  5. Step 5: Solve for x
    x = 673,481,714.56/32,526.72
  6. Step 6: Final answer
    x = 20,705.49

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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.