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Finding the Fourth Proportional to 30,486, 45,733.24 and 9,427.74

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Solution

The fourth proportional to 30,486, 45,733.24 and 9,427.74 is: 14,142.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,486 : 45,733.24 = 9,427.74 : x
  2. Step 2: Convert to fraction form
    30,486/45,733.24 = 9,427.74/x
  3. Step 3: Cross multiply
    30,486x = 45,733.24 × 9,427.74
  4. Step 4: Simplify right side
    30,486x = 431,161,096.08
  5. Step 5: Solve for x
    x = 431,161,096.08/30,486
  6. Step 6: Final answer
    x = 14,142.92

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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.