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Finding the Fourth Proportional to 46,047.40, 69,046.80 and 16,466.20

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Solution

The fourth proportional to 46,047.40, 69,046.80 and 16,466.20 is: 24,690.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,047.40 : 69,046.80 = 16,466.20 : x
  2. Step 2: Convert to fraction form
    46,047.40/69,046.80 = 16,466.20/x
  3. Step 3: Cross multiply
    46,047.40x = 69,046.80 × 16,466.20
  4. Step 4: Simplify right side
    46,047.40x = 1,136,938,418.16
  5. Step 5: Solve for x
    x = 1,136,938,418.16/46,047.40
  6. Step 6: Final answer
    x = 24,690.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.