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Finding the Fourth Proportional to 29,493.12, 44,235.36 and 9,768

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Solution

The fourth proportional to 29,493.12, 44,235.36 and 9,768 is: 14,650.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,493.12 : 44,235.36 = 9,768 : x
  2. Step 2: Convert to fraction form
    29,493.12/44,235.36 = 9,768/x
  3. Step 3: Cross multiply
    29,493.12x = 44,235.36 × 9,768
  4. Step 4: Simplify right side
    29,493.12x = 432,090,996.48
  5. Step 5: Solve for x
    x = 432,090,996.48/29,493.12
  6. Step 6: Final answer
    x = 14,650.57

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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.