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Finding the Fourth Proportional to 32,506.80, 48,721.80 and 13,786.80

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Solution

The fourth proportional to 32,506.80, 48,721.80 and 13,786.80 is: 20,663.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,506.80 : 48,721.80 = 13,786.80 : x
  2. Step 2: Convert to fraction form
    32,506.80/48,721.80 = 13,786.80/x
  3. Step 3: Cross multiply
    32,506.80x = 48,721.80 × 13,786.80
  4. Step 4: Simplify right side
    32,506.80x = 671,717,712.24
  5. Step 5: Solve for x
    x = 671,717,712.24/32,506.80
  6. Step 6: Final answer
    x = 20,663.91

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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.