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Finding the Fourth Proportional to 46,113.98, 69,177 and 16,535.12

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Solution

The fourth proportional to 46,113.98, 69,177 and 16,535.12 is: 24,804.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,113.98 : 69,177 = 16,535.12 : x
  2. Step 2: Convert to fraction form
    46,113.98/69,177 = 16,535.12/x
  3. Step 3: Cross multiply
    46,113.98x = 69,177 × 16,535.12
  4. Step 4: Simplify right side
    46,113.98x = 1,143,849,996.24
  5. Step 5: Solve for x
    x = 1,143,849,996.24/46,113.98
  6. Step 6: Final answer
    x = 24,804.84

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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.