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Finding the Fourth Proportional to 30,364.50, 45,546.75 and 9,588

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Solution

The fourth proportional to 30,364.50, 45,546.75 and 9,588 is: 14,382

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,364.50 : 45,546.75 = 9,588 : x
  2. Step 2: Convert to fraction form
    30,364.50/45,546.75 = 9,588/x
  3. Step 3: Cross multiply
    30,364.50x = 45,546.75 × 9,588
  4. Step 4: Simplify right side
    30,364.50x = 436,702,239
  5. Step 5: Solve for x
    x = 436,702,239/30,364.50
  6. Step 6: Final answer
    x = 14,382

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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.