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Finding the Fourth Proportional to 31,862.58, 47,794.14 and 11,071.50

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Solution

The fourth proportional to 31,862.58, 47,794.14 and 11,071.50 is: 16,607.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,862.58 : 47,794.14 = 11,071.50 : x
  2. Step 2: Convert to fraction form
    31,862.58/47,794.14 = 11,071.50/x
  3. Step 3: Cross multiply
    31,862.58x = 47,794.14 × 11,071.50
  4. Step 4: Simplify right side
    31,862.58x = 529,152,821.01
  5. Step 5: Solve for x
    x = 529,152,821.01/31,862.58
  6. Step 6: Final answer
    x = 16,607.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.