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Finding the Fourth Proportional to 29,977.72, 44,994.18 and 15,196.98

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Solution

The fourth proportional to 29,977.72, 44,994.18 and 15,196.98 is: 22,809.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,977.72 : 44,994.18 = 15,196.98 : x
  2. Step 2: Convert to fraction form
    29,977.72/44,994.18 = 15,196.98/x
  3. Step 3: Cross multiply
    29,977.72x = 44,994.18 × 15,196.98
  4. Step 4: Simplify right side
    29,977.72x = 683,775,653.58
  5. Step 5: Solve for x
    x = 683,775,653.58/29,977.72
  6. Step 6: Final answer
    x = 22,809.46

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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.