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Finding the Fourth Proportional to 47,282.70, 70,924.05 and 14,007.90

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Solution

The fourth proportional to 47,282.70, 70,924.05 and 14,007.90 is: 21,011.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,282.70 : 70,924.05 = 14,007.90 : x
  2. Step 2: Convert to fraction form
    47,282.70/70,924.05 = 14,007.90/x
  3. Step 3: Cross multiply
    47,282.70x = 70,924.05 × 14,007.90
  4. Step 4: Simplify right side
    47,282.70x = 993,497,000.00
  5. Step 5: Solve for x
    x = 993,497,000.00/47,282.70
  6. Step 6: Final answer
    x = 21,011.85

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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.