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Finding the Fourth Proportional to 34,674, 52,002.30 and 9,707.58

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Solution

The fourth proportional to 34,674, 52,002.30 and 9,707.58 is: 14,558.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,674 : 52,002.30 = 9,707.58 : x
  2. Step 2: Convert to fraction form
    34,674/52,002.30 = 9,707.58/x
  3. Step 3: Cross multiply
    34,674x = 52,002.30 × 9,707.58
  4. Step 4: Simplify right side
    34,674x = 504,816,487.43
  5. Step 5: Solve for x
    x = 504,816,487.43/34,674
  6. Step 6: Final answer
    x = 14,558.93

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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.