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Finding the Fourth Proportional to 47,208.60, 70,769.16 and 23,807.88

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Solution

The fourth proportional to 47,208.60, 70,769.16 and 23,807.88 is: 35,689.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,208.60 : 70,769.16 = 23,807.88 : x
  2. Step 2: Convert to fraction form
    47,208.60/70,769.16 = 23,807.88/x
  3. Step 3: Cross multiply
    47,208.60x = 70,769.16 × 23,807.88
  4. Step 4: Simplify right side
    47,208.60x = 1,684,863,668.98
  5. Step 5: Solve for x
    x = 1,684,863,668.98/47,208.60
  6. Step 6: Final answer
    x = 35,689.76

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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.