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Finding the Fourth Proportional to 47,632.50, 71,448.75 and 12,572.46

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Solution

The fourth proportional to 47,632.50, 71,448.75 and 12,572.46 is: 18,858.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,632.50 : 71,448.75 = 12,572.46 : x
  2. Step 2: Convert to fraction form
    47,632.50/71,448.75 = 12,572.46/x
  3. Step 3: Cross multiply
    47,632.50x = 71,448.75 × 12,572.46
  4. Step 4: Simplify right side
    47,632.50x = 898,286,551.43
  5. Step 5: Solve for x
    x = 898,286,551.43/47,632.50
  6. Step 6: Final answer
    x = 18,858.69

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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.