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Finding the Fourth Proportional to 46,099.50, 69,158.34 and 16,509.39

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Solution

The fourth proportional to 46,099.50, 69,158.34 and 16,509.39 is: 24,767.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,099.50 : 69,158.34 = 16,509.39 : x
  2. Step 2: Convert to fraction form
    46,099.50/69,158.34 = 16,509.39/x
  3. Step 3: Cross multiply
    46,099.50x = 69,158.34 × 16,509.39
  4. Step 4: Simplify right side
    46,099.50x = 1,141,762,006.81
  5. Step 5: Solve for x
    x = 1,141,762,006.81/46,099.50
  6. Step 6: Final answer
    x = 24,767.34

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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.