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Finding the Fourth Proportional to 29,740.86, 44,606.22 and 9,749.96

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Solution

The fourth proportional to 29,740.86, 44,606.22 and 9,749.96 is: 14,623.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,740.86 : 44,606.22 = 9,749.96 : x
  2. Step 2: Convert to fraction form
    29,740.86/44,606.22 = 9,749.96/x
  3. Step 3: Cross multiply
    29,740.86x = 44,606.22 × 9,749.96
  4. Step 4: Simplify right side
    29,740.86x = 434,908,637.72
  5. Step 5: Solve for x
    x = 434,908,637.72/29,740.86
  6. Step 6: Final answer
    x = 14,623.27

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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.