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Finding the Fourth Proportional to 29,190, 43,775.76 and 9,463.96

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Solution

The fourth proportional to 29,190, 43,775.76 and 9,463.96 is: 14,192.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,190 : 43,775.76 = 9,463.96 : x
  2. Step 2: Convert to fraction form
    29,190/43,775.76 = 9,463.96/x
  3. Step 3: Cross multiply
    29,190x = 43,775.76 × 9,463.96
  4. Step 4: Simplify right side
    29,190x = 414,292,041.61
  5. Step 5: Solve for x
    x = 414,292,041.61/29,190
  6. Step 6: Final answer
    x = 14,192.94

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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.