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Finding the Fourth Proportional to 31,787.34, 47,662.47 and 9,594.06

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Solution

The fourth proportional to 31,787.34, 47,662.47 and 9,594.06 is: 14,385.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,787.34 : 47,662.47 = 9,594.06 : x
  2. Step 2: Convert to fraction form
    31,787.34/47,662.47 = 9,594.06/x
  3. Step 3: Cross multiply
    31,787.34x = 47,662.47 × 9,594.06
  4. Step 4: Simplify right side
    31,787.34x = 457,276,596.93
  5. Step 5: Solve for x
    x = 457,276,596.93/31,787.34
  6. Step 6: Final answer
    x = 14,385.49

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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.