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Finding the Fourth Proportional to 47,345.94, 71,019.46 and 14,065.20

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Solution

The fourth proportional to 47,345.94, 71,019.46 and 14,065.20 is: 21,097.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,345.94 : 71,019.46 = 14,065.20 : x
  2. Step 2: Convert to fraction form
    47,345.94/71,019.46 = 14,065.20/x
  3. Step 3: Cross multiply
    47,345.94x = 71,019.46 × 14,065.20
  4. Step 4: Simplify right side
    47,345.94x = 998,902,908.79
  5. Step 5: Solve for x
    x = 998,902,908.79/47,345.94
  6. Step 6: Final answer
    x = 21,097.96

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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.