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Finding the Fourth Proportional to 47,980.52, 71,972.94 and 14,698.16

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Solution

The fourth proportional to 47,980.52, 71,972.94 and 14,698.16 is: 22,047.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,980.52 : 71,972.94 = 14,698.16 : x
  2. Step 2: Convert to fraction form
    47,980.52/71,972.94 = 14,698.16/x
  3. Step 3: Cross multiply
    47,980.52x = 71,972.94 × 14,698.16
  4. Step 4: Simplify right side
    47,980.52x = 1,057,869,787.79
  5. Step 5: Solve for x
    x = 1,057,869,787.79/47,980.52
  6. Step 6: Final answer
    x = 22,047.90

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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.