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Finding the Fourth Proportional to 51,055.37, 70,446 and 29,830.54

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Solution

The fourth proportional to 51,055.37, 70,446 and 29,830.54 is: 41,160.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,055.37 : 70,446 = 29,830.54 : x
  2. Step 2: Convert to fraction form
    51,055.37/70,446 = 29,830.54/x
  3. Step 3: Cross multiply
    51,055.37x = 70,446 × 29,830.54
  4. Step 4: Simplify right side
    51,055.37x = 2,101,441,868.61
  5. Step 5: Solve for x
    x = 2,101,441,868.61/51,055.37
  6. Step 6: Final answer
    x = 41,160.06

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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.