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Finding the Fourth Proportional to 29,754, 44,632.80 and 8,977.68

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Solution

The fourth proportional to 29,754, 44,632.80 and 8,977.68 is: 13,467.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,754 : 44,632.80 = 8,977.68 : x
  2. Step 2: Convert to fraction form
    29,754/44,632.80 = 8,977.68/x
  3. Step 3: Cross multiply
    29,754x = 44,632.80 × 8,977.68
  4. Step 4: Simplify right side
    29,754x = 400,698,995.90
  5. Step 5: Solve for x
    x = 400,698,995.90/29,754
  6. Step 6: Final answer
    x = 13,467.06

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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.