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Finding the Fourth Proportional to 49,322.32, 73,983.54 and 12,386.32

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Solution

The fourth proportional to 49,322.32, 73,983.54 and 12,386.32 is: 18,579.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,322.32 : 73,983.54 = 12,386.32 : x
  2. Step 2: Convert to fraction form
    49,322.32/73,983.54 = 12,386.32/x
  3. Step 3: Cross multiply
    49,322.32x = 73,983.54 × 12,386.32
  4. Step 4: Simplify right side
    49,322.32x = 916,383,801.17
  5. Step 5: Solve for x
    x = 916,383,801.17/49,322.32
  6. Step 6: Final answer
    x = 18,579.50

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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.