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Finding the Fourth Proportional to 45,695.52, 68,544.70 and 12,415.46

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Solution

The fourth proportional to 45,695.52, 68,544.70 and 12,415.46 is: 18,623.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,695.52 : 68,544.70 = 12,415.46 : x
  2. Step 2: Convert to fraction form
    45,695.52/68,544.70 = 12,415.46/x
  3. Step 3: Cross multiply
    45,695.52x = 68,544.70 × 12,415.46
  4. Step 4: Simplify right side
    45,695.52x = 851,013,607.30
  5. Step 5: Solve for x
    x = 851,013,607.30/45,695.52
  6. Step 6: Final answer
    x = 18,623.57

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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.