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Finding the Fourth Proportional to 31,852.50, 47,778.75 and 11,076

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Solution

The fourth proportional to 31,852.50, 47,778.75 and 11,076 is: 16,614

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,852.50 : 47,778.75 = 11,076 : x
  2. Step 2: Convert to fraction form
    31,852.50/47,778.75 = 11,076/x
  3. Step 3: Cross multiply
    31,852.50x = 47,778.75 × 11,076
  4. Step 4: Simplify right side
    31,852.50x = 529,197,435
  5. Step 5: Solve for x
    x = 529,197,435/31,852.50
  6. Step 6: Final answer
    x = 16,614

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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.