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Finding the Fourth Proportional to 123,963.74, 185,924.10 and 35,196.50

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Solution

The fourth proportional to 123,963.74, 185,924.10 and 35,196.50 is: 52,788.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,963.74 : 185,924.10 = 35,196.50 : x
  2. Step 2: Convert to fraction form
    123,963.74/185,924.10 = 35,196.50/x
  3. Step 3: Cross multiply
    123,963.74x = 185,924.10 × 35,196.50
  4. Step 4: Simplify right side
    123,963.74x = 6,543,877,585.65
  5. Step 5: Solve for x
    x = 6,543,877,585.65/123,963.74
  6. Step 6: Final answer
    x = 52,788.64

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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.