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Finding the Fourth Proportional to 48,333.60, 66,696 and 29,466.96

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Solution

The fourth proportional to 48,333.60, 66,696 and 29,466.96 is: 40,661.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,333.60 : 66,696 = 29,466.96 : x
  2. Step 2: Convert to fraction form
    48,333.60/66,696 = 29,466.96/x
  3. Step 3: Cross multiply
    48,333.60x = 66,696 × 29,466.96
  4. Step 4: Simplify right side
    48,333.60x = 1,965,328,364.16
  5. Step 5: Solve for x
    x = 1,965,328,364.16/48,333.60
  6. Step 6: Final answer
    x = 40,661.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.