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Finding the Fourth Proportional to 47,284.56, 70,927.56 and 14,007.96

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Solution

The fourth proportional to 47,284.56, 70,927.56 and 14,007.96 is: 21,012.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,284.56 : 70,927.56 = 14,007.96 : x
  2. Step 2: Convert to fraction form
    47,284.56/70,927.56 = 14,007.96/x
  3. Step 3: Cross multiply
    47,284.56x = 70,927.56 × 14,007.96
  4. Step 4: Simplify right side
    47,284.56x = 993,550,423.38
  5. Step 5: Solve for x
    x = 993,550,423.38/47,284.56
  6. Step 6: Final answer
    x = 21,012.15

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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.