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Finding the Fourth Proportional to 32,768.60, 49,147.50 and 14,051.66

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Solution

The fourth proportional to 32,768.60, 49,147.50 and 14,051.66 is: 21,075.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,768.60 : 49,147.50 = 14,051.66 : x
  2. Step 2: Convert to fraction form
    32,768.60/49,147.50 = 14,051.66/x
  3. Step 3: Cross multiply
    32,768.60x = 49,147.50 × 14,051.66
  4. Step 4: Simplify right side
    32,768.60x = 690,603,959.85
  5. Step 5: Solve for x
    x = 690,603,959.85/32,768.60
  6. Step 6: Final answer
    x = 21,075.17

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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.