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Finding the Fourth Proportional to 32,494.19, 48,731.36 and 13,773.88

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Solution

The fourth proportional to 32,494.19, 48,731.36 and 13,773.88 is: 20,656.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,494.19 : 48,731.36 = 13,773.88 : x
  2. Step 2: Convert to fraction form
    32,494.19/48,731.36 = 13,773.88/x
  3. Step 3: Cross multiply
    32,494.19x = 48,731.36 × 13,773.88
  4. Step 4: Simplify right side
    32,494.19x = 671,219,904.88
  5. Step 5: Solve for x
    x = 671,219,904.88/32,494.19
  6. Step 6: Final answer
    x = 20,656.61

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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.