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Finding the Fourth Proportional to 29,777.10, 44,648.64 and 12,232.50

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Solution

The fourth proportional to 29,777.10, 44,648.64 and 12,232.50 is: 18,341.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,777.10 : 44,648.64 = 12,232.50 : x
  2. Step 2: Convert to fraction form
    29,777.10/44,648.64 = 12,232.50/x
  3. Step 3: Cross multiply
    29,777.10x = 44,648.64 × 12,232.50
  4. Step 4: Simplify right side
    29,777.10x = 546,164,488.80
  5. Step 5: Solve for x
    x = 546,164,488.80/29,777.10
  6. Step 6: Final answer
    x = 18,341.76

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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.