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Finding the Fourth Proportional to 49,805.40, 74,748.90 and 49,416.60

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Solution

The fourth proportional to 49,805.40, 74,748.90 and 49,416.60 is: 74,165.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,805.40 : 74,748.90 = 49,416.60 : x
  2. Step 2: Convert to fraction form
    49,805.40/74,748.90 = 49,416.60/x
  3. Step 3: Cross multiply
    49,805.40x = 74,748.90 × 49,416.60
  4. Step 4: Simplify right side
    49,805.40x = 3,693,836,491.74
  5. Step 5: Solve for x
    x = 3,693,836,491.74/49,805.40
  6. Step 6: Final answer
    x = 74,165.38

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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.