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Finding the Fourth Proportional to 31,782.15, 47,680.93 and 9,594.20

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Solution

The fourth proportional to 31,782.15, 47,680.93 and 9,594.20 is: 14,393.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,782.15 : 47,680.93 = 9,594.20 : x
  2. Step 2: Convert to fraction form
    31,782.15/47,680.93 = 9,594.20/x
  3. Step 3: Cross multiply
    31,782.15x = 47,680.93 × 9,594.20
  4. Step 4: Simplify right side
    31,782.15x = 457,460,214.61
  5. Step 5: Solve for x
    x = 457,460,214.61/31,782.15
  6. Step 6: Final answer
    x = 14,393.62

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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.