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Finding the Fourth Proportional to 117,632, 176,457.24 and 33,390.80

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Solution

The fourth proportional to 117,632, 176,457.24 and 33,390.80 is: 50,088.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,632 : 176,457.24 = 33,390.80 : x
  2. Step 2: Convert to fraction form
    117,632/176,457.24 = 33,390.80/x
  3. Step 3: Cross multiply
    117,632x = 176,457.24 × 33,390.80
  4. Step 4: Simplify right side
    117,632x = 5,892,048,409.39
  5. Step 5: Solve for x
    x = 5,892,048,409.39/117,632
  6. Step 6: Final answer
    x = 50,088.82

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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.