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Finding the Fourth Proportional to 47,875.50, 71,813.25 and 12,814.29

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Solution

The fourth proportional to 47,875.50, 71,813.25 and 12,814.29 is: 19,221.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,875.50 : 71,813.25 = 12,814.29 : x
  2. Step 2: Convert to fraction form
    47,875.50/71,813.25 = 12,814.29/x
  3. Step 3: Cross multiply
    47,875.50x = 71,813.25 × 12,814.29
  4. Step 4: Simplify right side
    47,875.50x = 920,235,811.34
  5. Step 5: Solve for x
    x = 920,235,811.34/47,875.50
  6. Step 6: Final answer
    x = 19,221.44

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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.