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Finding the Fourth Proportional to 29,693.60, 44,543.40 and 10,978.64

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Solution

The fourth proportional to 29,693.60, 44,543.40 and 10,978.64 is: 16,469.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,693.60 : 44,543.40 = 10,978.64 : x
  2. Step 2: Convert to fraction form
    29,693.60/44,543.40 = 10,978.64/x
  3. Step 3: Cross multiply
    29,693.60x = 44,543.40 × 10,978.64
  4. Step 4: Simplify right side
    29,693.60x = 489,025,952.98
  5. Step 5: Solve for x
    x = 489,025,952.98/29,693.60
  6. Step 6: Final answer
    x = 16,469.07

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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.