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Finding the Fourth Proportional to 49,970.76, 74,965.32 and 16,687.68

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Solution

The fourth proportional to 49,970.76, 74,965.32 and 16,687.68 is: 25,034.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,970.76 : 74,965.32 = 16,687.68 : x
  2. Step 2: Convert to fraction form
    49,970.76/74,965.32 = 16,687.68/x
  3. Step 3: Cross multiply
    49,970.76x = 74,965.32 × 16,687.68
  4. Step 4: Simplify right side
    49,970.76x = 1,250,997,271.26
  5. Step 5: Solve for x
    x = 1,250,997,271.26/49,970.76
  6. Step 6: Final answer
    x = 25,034.59

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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.