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Finding the Fourth Proportional to 32,516.64, 48,773.84 and 13,784.63

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Solution

The fourth proportional to 32,516.64, 48,773.84 and 13,784.63 is: 20,676.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,516.64 : 48,773.84 = 13,784.63 : x
  2. Step 2: Convert to fraction form
    32,516.64/48,773.84 = 13,784.63/x
  3. Step 3: Cross multiply
    32,516.64x = 48,773.84 × 13,784.63
  4. Step 4: Simplify right side
    32,516.64x = 672,329,025.29
  5. Step 5: Solve for x
    x = 672,329,025.29/32,516.64
  6. Step 6: Final answer
    x = 20,676.46

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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.