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Finding the Fourth Proportional to 29,979, 44,970.68 and 11,511

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Solution

The fourth proportional to 29,979, 44,970.68 and 11,511 is: 17,267.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,979 : 44,970.68 = 11,511 : x
  2. Step 2: Convert to fraction form
    29,979/44,970.68 = 11,511/x
  3. Step 3: Cross multiply
    29,979x = 44,970.68 × 11,511
  4. Step 4: Simplify right side
    29,979x = 517,657,497.48
  5. Step 5: Solve for x
    x = 517,657,497.48/29,979
  6. Step 6: Final answer
    x = 17,267.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.