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Finding the Fourth Proportional to 51,057.30, 70,461.82 and 29,848.98

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Solution

The fourth proportional to 51,057.30, 70,461.82 and 29,848.98 is: 41,193.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,057.30 : 70,461.82 = 29,848.98 : x
  2. Step 2: Convert to fraction form
    51,057.30/70,461.82 = 29,848.98/x
  3. Step 3: Cross multiply
    51,057.30x = 70,461.82 × 29,848.98
  4. Step 4: Simplify right side
    51,057.30x = 2,103,213,455.94
  5. Step 5: Solve for x
    x = 2,103,213,455.94/51,057.30
  6. Step 6: Final answer
    x = 41,193.20

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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.