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Finding the Fourth Proportional to 31,787.34, 47,681.04 and 13,054.32

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Solution

The fourth proportional to 31,787.34, 47,681.04 and 13,054.32 is: 19,581.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,787.34 : 47,681.04 = 13,054.32 : x
  2. Step 2: Convert to fraction form
    31,787.34/47,681.04 = 13,054.32/x
  3. Step 3: Cross multiply
    31,787.34x = 47,681.04 × 13,054.32
  4. Step 4: Simplify right side
    31,787.34x = 622,443,554.09
  5. Step 5: Solve for x
    x = 622,443,554.09/31,787.34
  6. Step 6: Final answer
    x = 19,581.49

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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.