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Finding the Fourth Proportional to 32,506.82, 48,755.91 and 12,780.08

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Solution

The fourth proportional to 32,506.82, 48,755.91 and 12,780.08 is: 19,168.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,506.82 : 48,755.91 = 12,780.08 : x
  2. Step 2: Convert to fraction form
    32,506.82/48,755.91 = 12,780.08/x
  3. Step 3: Cross multiply
    32,506.82x = 48,755.91 × 12,780.08
  4. Step 4: Simplify right side
    32,506.82x = 623,104,430.27
  5. Step 5: Solve for x
    x = 623,104,430.27/32,506.82
  6. Step 6: Final answer
    x = 19,168.42

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1.5x scale

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.