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Finding the Fourth Proportional to 30,869.64, 46,304.46 and 7,495.92

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Solution

The fourth proportional to 30,869.64, 46,304.46 and 7,495.92 is: 11,243.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,869.64 : 46,304.46 = 7,495.92 : x
  2. Step 2: Convert to fraction form
    30,869.64/46,304.46 = 7,495.92/x
  3. Step 3: Cross multiply
    30,869.64x = 46,304.46 × 7,495.92
  4. Step 4: Simplify right side
    30,869.64x = 347,094,527.80
  5. Step 5: Solve for x
    x = 347,094,527.80/30,869.64
  6. Step 6: Final answer
    x = 11,243.88

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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.