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Finding the Fourth Proportional to 29,880.42, 44,822.85 and 7,693.98

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Solution

The fourth proportional to 29,880.42, 44,822.85 and 7,693.98 is: 11,541.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,880.42 : 44,822.85 = 7,693.98 : x
  2. Step 2: Convert to fraction form
    29,880.42/44,822.85 = 7,693.98/x
  3. Step 3: Cross multiply
    29,880.42x = 44,822.85 × 7,693.98
  4. Step 4: Simplify right side
    29,880.42x = 344,866,111.44
  5. Step 5: Solve for x
    x = 344,866,111.44/29,880.42
  6. Step 6: Final answer
    x = 11,541.54

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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.