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Finding the Fourth Proportional to 34,100.16, 47,045.48 and 34,047.60

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Solution

The fourth proportional to 34,100.16, 47,045.48 and 34,047.60 is: 46,972.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,100.16 : 47,045.48 = 34,047.60 : x
  2. Step 2: Convert to fraction form
    34,100.16/47,045.48 = 34,047.60/x
  3. Step 3: Cross multiply
    34,100.16x = 47,045.48 × 34,047.60
  4. Step 4: Simplify right side
    34,100.16x = 1,601,785,684.85
  5. Step 5: Solve for x
    x = 1,601,785,684.85/34,100.16
  6. Step 6: Final answer
    x = 46,972.97

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