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Finding the Fourth Proportional to 44,472.60, 66,703.14 and 16,767

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Solution

The fourth proportional to 44,472.60, 66,703.14 and 16,767 is: 25,148.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,472.60 : 66,703.14 = 16,767 : x
  2. Step 2: Convert to fraction form
    44,472.60/66,703.14 = 16,767/x
  3. Step 3: Cross multiply
    44,472.60x = 66,703.14 × 16,767
  4. Step 4: Simplify right side
    44,472.60x = 1,118,411,548.38
  5. Step 5: Solve for x
    x = 1,118,411,548.38/44,472.60
  6. Step 6: Final answer
    x = 25,148.33

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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.