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Finding the Fourth Proportional to 46,120.84, 69,190.52 and 16,541

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Solution

The fourth proportional to 46,120.84, 69,190.52 and 16,541 is: 24,814.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,120.84 : 69,190.52 = 16,541 : x
  2. Step 2: Convert to fraction form
    46,120.84/69,190.52 = 16,541/x
  3. Step 3: Cross multiply
    46,120.84x = 69,190.52 × 16,541
  4. Step 4: Simplify right side
    46,120.84x = 1,144,480,391.32
  5. Step 5: Solve for x
    x = 1,144,480,391.32/46,120.84
  6. Step 6: Final answer
    x = 24,814.82

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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.