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Finding the Fourth Proportional to 47,360, 71,053.92 and 14,080.32

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Solution

The fourth proportional to 47,360, 71,053.92 and 14,080.32 is: 21,124.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,360 : 71,053.92 = 14,080.32 : x
  2. Step 2: Convert to fraction form
    47,360/71,053.92 = 14,080.32/x
  3. Step 3: Cross multiply
    47,360x = 71,053.92 × 14,080.32
  4. Step 4: Simplify right side
    47,360x = 1,000,461,930.85
  5. Step 5: Solve for x
    x = 1,000,461,930.85/47,360
  6. Step 6: Final answer
    x = 21,124.62

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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.