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Finding the Fourth Proportional to 31,527, 43,507.56 and 17,380.35

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Solution

The fourth proportional to 31,527, 43,507.56 and 17,380.35 is: 23,985.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,527 : 43,507.56 = 17,380.35 : x
  2. Step 2: Convert to fraction form
    31,527/43,507.56 = 17,380.35/x
  3. Step 3: Cross multiply
    31,527x = 43,507.56 × 17,380.35
  4. Step 4: Simplify right side
    31,527x = 756,176,620.45
  5. Step 5: Solve for x
    x = 756,176,620.45/31,527
  6. Step 6: Final answer
    x = 23,985.05

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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.