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Finding the Fourth Proportional to 51,465.41, 77,209.50 and 16,405.07

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Solution

The fourth proportional to 51,465.41, 77,209.50 and 16,405.07 is: 24,611.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,465.41 : 77,209.50 = 16,405.07 : x
  2. Step 2: Convert to fraction form
    51,465.41/77,209.50 = 16,405.07/x
  3. Step 3: Cross multiply
    51,465.41x = 77,209.50 × 16,405.07
  4. Step 4: Simplify right side
    51,465.41x = 1,266,626,927.64
  5. Step 5: Solve for x
    x = 1,266,626,927.64/51,465.41
  6. Step 6: Final answer
    x = 24,611.23

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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.