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Finding the Fourth Proportional to 29,780.49, 44,574.75 and 16,432.50

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Solution

The fourth proportional to 29,780.49, 44,574.75 and 16,432.50 is: 24,595.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,780.49 : 44,574.75 = 16,432.50 : x
  2. Step 2: Convert to fraction form
    29,780.49/44,574.75 = 16,432.50/x
  3. Step 3: Cross multiply
    29,780.49x = 44,574.75 × 16,432.50
  4. Step 4: Simplify right side
    29,780.49x = 732,474,579.38
  5. Step 5: Solve for x
    x = 732,474,579.38/29,780.49
  6. Step 6: Final answer
    x = 24,595.79

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