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Finding the Fourth Proportional to 51,055.30, 70,459.05 and 29,846.98

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Solution

The fourth proportional to 51,055.30, 70,459.05 and 29,846.98 is: 41,190.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,055.30 : 70,459.05 = 29,846.98 : x
  2. Step 2: Convert to fraction form
    51,055.30/70,459.05 = 29,846.98/x
  3. Step 3: Cross multiply
    51,055.30x = 70,459.05 × 29,846.98
  4. Step 4: Simplify right side
    51,055.30x = 2,102,989,856.17
  5. Step 5: Solve for x
    x = 2,102,989,856.17/51,055.30
  6. Step 6: Final answer
    x = 41,190.43

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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.