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Finding the Fourth Proportional to 29,913.86, 44,870.80 and 10,191.98

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Solution

The fourth proportional to 29,913.86, 44,870.80 and 10,191.98 is: 15,287.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,913.86 : 44,870.80 = 10,191.98 : x
  2. Step 2: Convert to fraction form
    29,913.86/44,870.80 = 10,191.98/x
  3. Step 3: Cross multiply
    29,913.86x = 44,870.80 × 10,191.98
  4. Step 4: Simplify right side
    29,913.86x = 457,322,296.18
  5. Step 5: Solve for x
    x = 457,322,296.18/29,913.86
  6. Step 6: Final answer
    x = 15,287.97

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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.