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Finding the Fourth Proportional to 47,693.54, 71,541.66 and 12,633.20

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Solution

The fourth proportional to 47,693.54, 71,541.66 and 12,633.20 is: 18,950.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,693.54 : 71,541.66 = 12,633.20 : x
  2. Step 2: Convert to fraction form
    47,693.54/71,541.66 = 12,633.20/x
  3. Step 3: Cross multiply
    47,693.54x = 71,541.66 × 12,633.20
  4. Step 4: Simplify right side
    47,693.54x = 903,799,741.40
  5. Step 5: Solve for x
    x = 903,799,741.40/47,693.54
  6. Step 6: Final answer
    x = 18,950.15

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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.