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Finding the Fourth Proportional to 31,445.64, 47,174.58 and 10,384.80

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Solution

The fourth proportional to 31,445.64, 47,174.58 and 10,384.80 is: 15,579.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,445.64 : 47,174.58 = 10,384.80 : x
  2. Step 2: Convert to fraction form
    31,445.64/47,174.58 = 10,384.80/x
  3. Step 3: Cross multiply
    31,445.64x = 47,174.58 × 10,384.80
  4. Step 4: Simplify right side
    31,445.64x = 489,898,578.38
  5. Step 5: Solve for x
    x = 489,898,578.38/31,445.64
  6. Step 6: Final answer
    x = 15,579.22

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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.