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Finding the Fourth Proportional to 49,649.60, 74,474.40 and 21,583.10

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Solution

The fourth proportional to 49,649.60, 74,474.40 and 21,583.10 is: 32,374.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,649.60 : 74,474.40 = 21,583.10 : x
  2. Step 2: Convert to fraction form
    49,649.60/74,474.40 = 21,583.10/x
  3. Step 3: Cross multiply
    49,649.60x = 74,474.40 × 21,583.10
  4. Step 4: Simplify right side
    49,649.60x = 1,607,388,422.64
  5. Step 5: Solve for x
    x = 1,607,388,422.64/49,649.60
  6. Step 6: Final answer
    x = 32,374.65

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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.