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Finding the Fourth Proportional to 49,374.54, 74,055.56 and 15,643.98

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Solution

The fourth proportional to 49,374.54, 74,055.56 and 15,643.98 is: 23,463.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,374.54 : 74,055.56 = 15,643.98 : x
  2. Step 2: Convert to fraction form
    49,374.54/74,055.56 = 15,643.98/x
  3. Step 3: Cross multiply
    49,374.54x = 74,055.56 × 15,643.98
  4. Step 4: Simplify right side
    49,374.54x = 1,158,523,481.95
  5. Step 5: Solve for x
    x = 1,158,523,481.95/49,374.54
  6. Step 6: Final answer
    x = 23,463.99

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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.