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Finding the Fourth Proportional to 31,656.65, 47,495.81 and 11,940.84

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Solution

The fourth proportional to 31,656.65, 47,495.81 and 11,940.84 is: 17,915.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,656.65 : 47,495.81 = 11,940.84 : x
  2. Step 2: Convert to fraction form
    31,656.65/47,495.81 = 11,940.84/x
  3. Step 3: Cross multiply
    31,656.65x = 47,495.81 × 11,940.84
  4. Step 4: Simplify right side
    31,656.65x = 567,139,808.18
  5. Step 5: Solve for x
    x = 567,139,808.18/31,656.65
  6. Step 6: Final answer
    x = 17,915.35

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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.