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Finding the Fourth Proportional to 32,051.31, 48,094.17 and 16,468.93

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Solution

The fourth proportional to 32,051.31, 48,094.17 and 16,468.93 is: 24,712.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,051.31 : 48,094.17 = 16,468.93 : x
  2. Step 2: Convert to fraction form
    32,051.31/48,094.17 = 16,468.93/x
  3. Step 3: Cross multiply
    32,051.31x = 48,094.17 × 16,468.93
  4. Step 4: Simplify right side
    32,051.31x = 792,059,519.14
  5. Step 5: Solve for x
    x = 792,059,519.14/32,051.31
  6. Step 6: Final answer
    x = 24,712.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.