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Finding the Fourth Proportional to 47,562, 71,321.96 and 14,275.70

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Solution

The fourth proportional to 47,562, 71,321.96 and 14,275.70 is: 21,407.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,562 : 71,321.96 = 14,275.70 : x
  2. Step 2: Convert to fraction form
    47,562/71,321.96 = 14,275.70/x
  3. Step 3: Cross multiply
    47,562x = 71,321.96 × 14,275.70
  4. Step 4: Simplify right side
    47,562x = 1,018,170,904.37
  5. Step 5: Solve for x
    x = 1,018,170,904.37/47,562
  6. Step 6: Final answer
    x = 21,407.23

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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.