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Finding the Fourth Proportional to 47,693.76, 71,532.48 and 12,636.96

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Solution

The fourth proportional to 47,693.76, 71,532.48 and 12,636.96 is: 18,953.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,693.76 : 71,532.48 = 12,636.96 : x
  2. Step 2: Convert to fraction form
    47,693.76/71,532.48 = 12,636.96/x
  3. Step 3: Cross multiply
    47,693.76x = 71,532.48 × 12,636.96
  4. Step 4: Simplify right side
    47,693.76x = 903,953,088.46
  5. Step 5: Solve for x
    x = 903,953,088.46/47,693.76
  6. Step 6: Final answer
    x = 18,953.28

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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.