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Finding the Fourth Proportional to 31,898.61, 47,838.20 and 11,117.25

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Solution

The fourth proportional to 31,898.61, 47,838.20 and 11,117.25 is: 16,672.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,898.61 : 47,838.20 = 11,117.25 : x
  2. Step 2: Convert to fraction form
    31,898.61/47,838.20 = 11,117.25/x
  3. Step 3: Cross multiply
    31,898.61x = 47,838.20 × 11,117.25
  4. Step 4: Simplify right side
    31,898.61x = 531,829,173.36
  5. Step 5: Solve for x
    x = 531,829,173.36/31,898.61
  6. Step 6: Final answer
    x = 16,672.49

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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.