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Finding the Fourth Proportional to 29,503.74, 44,246.04 and 9,777

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Solution

The fourth proportional to 29,503.74, 44,246.04 and 9,777 is: 14,662.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,503.74 : 44,246.04 = 9,777 : x
  2. Step 2: Convert to fraction form
    29,503.74/44,246.04 = 9,777/x
  3. Step 3: Cross multiply
    29,503.74x = 44,246.04 × 9,777
  4. Step 4: Simplify right side
    29,503.74x = 432,593,533.08
  5. Step 5: Solve for x
    x = 432,593,533.08/29,503.74
  6. Step 6: Final answer
    x = 14,662.33

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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.