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Finding the Fourth Proportional to 49,525.76, 74,313.60 and 18,364.16

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Solution

The fourth proportional to 49,525.76, 74,313.60 and 18,364.16 is: 27,555.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,525.76 : 74,313.60 = 18,364.16 : x
  2. Step 2: Convert to fraction form
    49,525.76/74,313.60 = 18,364.16/x
  3. Step 3: Cross multiply
    49,525.76x = 74,313.60 × 18,364.16
  4. Step 4: Simplify right side
    49,525.76x = 1,364,706,840.58
  5. Step 5: Solve for x
    x = 1,364,706,840.58/49,525.76
  6. Step 6: Final answer
    x = 27,555.50

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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.