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Finding the Fourth Proportional to 31,611.84, 43,624.50 and 17,465.16

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Solution

The fourth proportional to 31,611.84, 43,624.50 and 17,465.16 is: 24,102.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,611.84 : 43,624.50 = 17,465.16 : x
  2. Step 2: Convert to fraction form
    31,611.84/43,624.50 = 17,465.16/x
  3. Step 3: Cross multiply
    31,611.84x = 43,624.50 × 17,465.16
  4. Step 4: Simplify right side
    31,611.84x = 761,908,872.42
  5. Step 5: Solve for x
    x = 761,908,872.42/31,611.84
  6. Step 6: Final answer
    x = 24,102.01

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