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Finding the Fourth Proportional to 32,686.40, 49,012.96 and 16,047.68

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Solution

The fourth proportional to 32,686.40, 49,012.96 and 16,047.68 is: 24,063.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,686.40 : 49,012.96 = 16,047.68 : x
  2. Step 2: Convert to fraction form
    32,686.40/49,012.96 = 16,047.68/x
  3. Step 3: Cross multiply
    32,686.40x = 49,012.96 × 16,047.68
  4. Step 4: Simplify right side
    32,686.40x = 786,544,297.93
  5. Step 5: Solve for x
    x = 786,544,297.93/32,686.40
  6. Step 6: Final answer
    x = 24,063.35

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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.