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Finding the Fourth Proportional to 32,783.54, 49,175.34 and 14,051.42

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Solution

The fourth proportional to 32,783.54, 49,175.34 and 14,051.42 is: 21,077.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,783.54 : 49,175.34 = 14,051.42 : x
  2. Step 2: Convert to fraction form
    32,783.54/49,175.34 = 14,051.42/x
  3. Step 3: Cross multiply
    32,783.54x = 49,175.34 × 14,051.42
  4. Step 4: Simplify right side
    32,783.54x = 690,983,110.11
  5. Step 5: Solve for x
    x = 690,983,110.11/32,783.54
  6. Step 6: Final answer
    x = 21,077.14

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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.