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Finding the Fourth Proportional to 29,978.72, 44,995.68 and 15,197.98

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Solution

The fourth proportional to 29,978.72, 44,995.68 and 15,197.98 is: 22,810.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,978.72 : 44,995.68 = 15,197.98 : x
  2. Step 2: Convert to fraction form
    29,978.72/44,995.68 = 15,197.98/x
  3. Step 3: Cross multiply
    29,978.72x = 44,995.68 × 15,197.98
  4. Step 4: Simplify right side
    29,978.72x = 683,843,444.73
  5. Step 5: Solve for x
    x = 683,843,444.73/29,978.72
  6. Step 6: Final answer
    x = 22,810.96

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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.