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Finding the Fourth Proportional to 30,246.38, 45,369.57 and 9,471.50

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Solution

The fourth proportional to 30,246.38, 45,369.57 and 9,471.50 is: 14,207.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,246.38 : 45,369.57 = 9,471.50 : x
  2. Step 2: Convert to fraction form
    30,246.38/45,369.57 = 9,471.50/x
  3. Step 3: Cross multiply
    30,246.38x = 45,369.57 × 9,471.50
  4. Step 4: Simplify right side
    30,246.38x = 429,717,882.26
  5. Step 5: Solve for x
    x = 429,717,882.26/30,246.38
  6. Step 6: Final answer
    x = 14,207.25

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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.