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Finding the Fourth Proportional to 46,377.47, 69,571.74 and 16,385.49

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Solution

The fourth proportional to 46,377.47, 69,571.74 and 16,385.49 is: 24,580.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,377.47 : 69,571.74 = 16,385.49 : x
  2. Step 2: Convert to fraction form
    46,377.47/69,571.74 = 16,385.49/x
  3. Step 3: Cross multiply
    46,377.47x = 69,571.74 × 16,385.49
  4. Step 4: Simplify right side
    46,377.47x = 1,139,967,050.05
  5. Step 5: Solve for x
    x = 1,139,967,050.05/46,377.47
  6. Step 6: Final answer
    x = 24,580.19

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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.