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Finding the Fourth Proportional to 46,046.76, 69,060 and 16,466.64

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Solution

The fourth proportional to 46,046.76, 69,060 and 16,466.64 is: 24,696.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,046.76 : 69,060 = 16,466.64 : x
  2. Step 2: Convert to fraction form
    46,046.76/69,060 = 16,466.64/x
  3. Step 3: Cross multiply
    46,046.76x = 69,060 × 16,466.64
  4. Step 4: Simplify right side
    46,046.76x = 1,137,186,158.40
  5. Step 5: Solve for x
    x = 1,137,186,158.40/46,046.76
  6. Step 6: Final answer
    x = 24,696.33

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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.