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Finding the Fourth Proportional to 121,477.92, 182,222.44 and 37,232

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Solution

The fourth proportional to 121,477.92, 182,222.44 and 37,232 is: 55,849.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,477.92 : 182,222.44 = 37,232 : x
  2. Step 2: Convert to fraction form
    121,477.92/182,222.44 = 37,232/x
  3. Step 3: Cross multiply
    121,477.92x = 182,222.44 × 37,232
  4. Step 4: Simplify right side
    121,477.92x = 6,784,505,886.08
  5. Step 5: Solve for x
    x = 6,784,505,886.08/121,477.92
  6. Step 6: Final answer
    x = 55,849.70

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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.