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Finding the Fourth Proportional to 29,977, 44,967.68 and 11,509

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Solution

The fourth proportional to 29,977, 44,967.68 and 11,509 is: 17,264.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,977 : 44,967.68 = 11,509 : x
  2. Step 2: Convert to fraction form
    29,977/44,967.68 = 11,509/x
  3. Step 3: Cross multiply
    29,977x = 44,967.68 × 11,509
  4. Step 4: Simplify right side
    29,977x = 517,533,029.12
  5. Step 5: Solve for x
    x = 517,533,029.12/29,977
  6. Step 6: Final answer
    x = 17,264.34

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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.