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Finding the Fourth Proportional to 122,497.65, 183,713.58 and 33,730.02

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Solution

The fourth proportional to 122,497.65, 183,713.58 and 33,730.02 is: 50,585.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,497.65 : 183,713.58 = 33,730.02 : x
  2. Step 2: Convert to fraction form
    122,497.65/183,713.58 = 33,730.02/x
  3. Step 3: Cross multiply
    122,497.65x = 183,713.58 × 33,730.02
  4. Step 4: Simplify right side
    122,497.65x = 6,196,662,727.67
  5. Step 5: Solve for x
    x = 6,196,662,727.67/122,497.65
  6. Step 6: Final answer
    x = 50,585.97

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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.