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Finding the Fourth Proportional to 29,968, 44,959.29 and 9,977.44

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Solution

The fourth proportional to 29,968, 44,959.29 and 9,977.44 is: 14,968.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,968 : 44,959.29 = 9,977.44 : x
  2. Step 2: Convert to fraction form
    29,968/44,959.29 = 9,977.44/x
  3. Step 3: Cross multiply
    29,968x = 44,959.29 × 9,977.44
  4. Step 4: Simplify right side
    29,968x = 448,578,618.42
  5. Step 5: Solve for x
    x = 448,578,618.42/29,968
  6. Step 6: Final answer
    x = 14,968.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.