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Finding the Fourth Proportional to 47,505.98, 71,283.28 and 19,446.78

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Solution

The fourth proportional to 47,505.98, 71,283.28 and 19,446.78 is: 29,180.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,505.98 : 71,283.28 = 19,446.78 : x
  2. Step 2: Convert to fraction form
    47,505.98/71,283.28 = 19,446.78/x
  3. Step 3: Cross multiply
    47,505.98x = 71,283.28 × 19,446.78
  4. Step 4: Simplify right side
    47,505.98x = 1,386,230,263.84
  5. Step 5: Solve for x
    x = 1,386,230,263.84/47,505.98
  6. Step 6: Final answer
    x = 29,180.12

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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.