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Finding the Fourth Proportional to 29,689.62, 40,972.35 and 16,261.50

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Solution

The fourth proportional to 29,689.62, 40,972.35 and 16,261.50 is: 22,441.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,689.62 : 40,972.35 = 16,261.50 : x
  2. Step 2: Convert to fraction form
    29,689.62/40,972.35 = 16,261.50/x
  3. Step 3: Cross multiply
    29,689.62x = 40,972.35 × 16,261.50
  4. Step 4: Simplify right side
    29,689.62x = 666,271,869.53
  5. Step 5: Solve for x
    x = 666,271,869.53/29,689.62
  6. Step 6: Final answer
    x = 22,441.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.