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Finding the Fourth Proportional to 47,353.64, 71,042.02 and 15,763.64

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Solution

The fourth proportional to 47,353.64, 71,042.02 and 15,763.64 is: 23,649.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,353.64 : 71,042.02 = 15,763.64 : x
  2. Step 2: Convert to fraction form
    47,353.64/71,042.02 = 15,763.64/x
  3. Step 3: Cross multiply
    47,353.64x = 71,042.02 × 15,763.64
  4. Step 4: Simplify right side
    47,353.64x = 1,119,880,828.15
  5. Step 5: Solve for x
    x = 1,119,880,828.15/47,353.64
  6. Step 6: Final answer
    x = 23,649.31

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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.