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Finding the Fourth Proportional to 34,792.44, 47,978.28 and 29,773.32

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Solution

The fourth proportional to 34,792.44, 47,978.28 and 29,773.32 is: 41,056.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,792.44 : 47,978.28 = 29,773.32 : x
  2. Step 2: Convert to fraction form
    34,792.44/47,978.28 = 29,773.32/x
  3. Step 3: Cross multiply
    34,792.44x = 47,978.28 × 29,773.32
  4. Step 4: Simplify right side
    34,792.44x = 1,428,472,683.49
  5. Step 5: Solve for x
    x = 1,428,472,683.49/34,792.44
  6. Step 6: Final answer
    x = 41,056.98

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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.