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Finding the Fourth Proportional to 32,506.80, 48,733.20 and 13,801.20

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Solution

The fourth proportional to 32,506.80, 48,733.20 and 13,801.20 is: 20,690.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,506.80 : 48,733.20 = 13,801.20 : x
  2. Step 2: Convert to fraction form
    32,506.80/48,733.20 = 13,801.20/x
  3. Step 3: Cross multiply
    32,506.80x = 48,733.20 × 13,801.20
  4. Step 4: Simplify right side
    32,506.80x = 672,576,639.84
  5. Step 5: Solve for x
    x = 672,576,639.84/32,506.80
  6. Step 6: Final answer
    x = 20,690.34

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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.