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Finding the Fourth Proportional to 30,375.66, 45,565.38 and 9,316.38

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Solution

The fourth proportional to 30,375.66, 45,565.38 and 9,316.38 is: 13,975.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,375.66 : 45,565.38 = 9,316.38 : x
  2. Step 2: Convert to fraction form
    30,375.66/45,565.38 = 9,316.38/x
  3. Step 3: Cross multiply
    30,375.66x = 45,565.38 × 9,316.38
  4. Step 4: Simplify right side
    30,375.66x = 424,504,394.92
  5. Step 5: Solve for x
    x = 424,504,394.92/30,375.66
  6. Step 6: Final answer
    x = 13,975.15

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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.