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Finding the Fourth Proportional to 117,207.49, 175,798.33 and 32,970.33

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Solution

The fourth proportional to 117,207.49, 175,798.33 and 32,970.33 is: 49,451.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,207.49 : 175,798.33 = 32,970.33 : x
  2. Step 2: Convert to fraction form
    117,207.49/175,798.33 = 32,970.33/x
  3. Step 3: Cross multiply
    117,207.49x = 175,798.33 × 32,970.33
  4. Step 4: Simplify right side
    117,207.49x = 5,796,128,953.55
  5. Step 5: Solve for x
    x = 5,796,128,953.55/117,207.49
  6. Step 6: Final answer
    x = 49,451.86

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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.